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101011200100020 = 22335726722539709
BaseRepresentation
bin10110111101111010000000…
…101100110100011010110100
3111020122120120012200222122000
4112331322000230310122310
5101214431414211200040
6554455523230135300
730163550463156150
oct2675720054643264
9436576505628560
10101011200100020
112a204678110a81
12b3b4792651530
134449413929ab2
141ad2d7a936060
15ba27ee44e130
hex5bde80b346b4

101011200100020 has 96 divisors (see below), whose sum is σ = 359150933702400. Its totient is φ = 23088274307712.

The previous prime is 101011200100009. The next prime is 101011200100067. The reversal of 101011200100020 is 20001002110101.

It is a happy number.

101011200100020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011200099975 and 101011200100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13361266075 + ... + 13361273634.

It is an arithmetic number, because the mean of its divisors is an integer number (3741155559400).

Almost surely, 2101011200100020 is an apocalyptic number.

101011200100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011200100020 is an abundant number, since it is smaller than the sum of its proper divisors (258139733602380).

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

101011200100020 is a wasteful number, since it uses less digits than its factorization.

101011200100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26722539734 (or 26722539726 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011200100020 its reverse (20001002110101), we get a palindrome (121012202210121).

The spelling of 101011200100020 in words is "one hundred one trillion, eleven billion, two hundred million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26722539709 53445079418 80167619127 106890158836 133612698545 160335238254 187057777963 240502857381 267225397090 320670476508 374115555926 400838095635 481005714762 534450794180 561173333889 721508572143 748231111852 801676191270 935288889815 962011429524 1122346667778 1202514286905 1443017144286 1603352382540 1683520001667 1870577779630 2244693335556 2405028573810 2805866669445 2886034288572 3367040003334 3607542860715 3741155559260 4810057147620 5050560005001 5611733338890 6734080006668 7215085721430 8417600008335 10101120010002 11223466677780 14430171442860 16835200016670 20202240020004 25252800025005 33670400033340 50505600050010 101011200100020