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201012001220100 = 223527433221062357
BaseRepresentation
bin101101101101000111000000…
…111011011010011000000100
3222100201120002222110122001210
4231231013000323122120010
5202321340034303020400
61551303345531451420
760224431530621450
oct5555070073323004
9870646088418053
10201012001220100
1159059790353564
121a6655805b6b70
138821472a28695
14378d065cc5660
151838bb4217950
hexb6d1c0eda604

201012001220100 has 144 divisors (see below), whose sum is σ = 666214744055168. Its totient is φ = 45839490140160.

The previous prime is 201012001220071. The next prime is 201012001220101. The reversal of 201012001220100 is 1022100210102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201012001220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109621879 + ... + 111440478.

Almost surely, 2201012001220100 is an apocalyptic number.

201012001220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012001220100 is an abundant number, since it is smaller than the sum of its proper divisors (465202742835068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201012001220100 is a wasteful number, since it uses less digits than its factorization.

201012001220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221062814 (or 221062807 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201012001220100 its reverse (1022100210102), we get a palindrome (202034101430202).

The spelling of 201012001220100 in words is "two hundred one trillion, twelve billion, one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 433 525 700 866 1050 1299 1732 2100 2165 2598 3031 4330 5196 6062 6495 8660 9093 10825 12124 12990 15155 18186 21650 25980 30310 32475 36372 43300 45465 60620 64950 75775 90930 129900 151550 181860 227325 303100 454650 909300 221062357 442124714 663187071 884249428 1105311785 1326374142 1547436499 2210623570 2652748284 3094872998 3315935355 4421247140 4642309497 5526558925 6189745996 6631870710 7737182495 9284618994 11053117850 13263741420 15474364990 16579676775 18569237988 22106235700 23211547485 30948729980 33159353550 38685912475 46423094970 66318707100 77371824950 92846189940 95720000581 116057737425 154743649900 191440001162 232115474850 287160001743 382880002324 464230949700 478600002905 574320003486 670040004067 957200005810 1148640006972 1340080008134 1435800008715 1914400011620 2010120012201 2393000014525 2680160016268 2871600017430 3350200020335 4020240024402 4786000029050 5743200034860 6700400040670 7179000043575 8040480048804 9572000058100 10050600061005 13400800081340 14358000087150 16751000101675 20101200122010 28716000174300 33502000203350 40202400244020 50253000305025 67004000406700 100506000610050 201012001220100