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101002212120110 = 2578234139942349
BaseRepresentation
bin10110111101110001101000…
…111110011001011000101110
3111020121201100211020022002012
4112331301220332121120232
5101214310012300320420
6554451435314401222
730163111654460120
oct2675615076313056
9436551324208065
10101002212120110
112a20088568a704
12b3b2aa4590212
1344486107c79a2
141ad2766d6d210
15ba2475348dc5
hex5bdc68f9962e

101002212120110 has 64 divisors (see below), whose sum is σ = 208038378240000. Its totient is φ = 34585600758912.

The previous prime is 101002212120053. The next prime is 101002212120143. The reversal of 101002212120110 is 11021212200101.

It is a super-3 number, since 3×1010022121201103 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

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, 2384975216 + ... + 2385017564.

It is an arithmetic number, because the mean of its divisors is an integer number (3250599660000).

Almost surely, 2101002212120110 is an apocalyptic number.

101002212120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002212120110 is an abundant number, since it is smaller than the sum of its proper divisors (107036166119890).

101002212120110 is a wasteful number, since it uses less digits than its factorization.

101002212120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84585.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002212120110 its reverse (11021212200101), we get a palindrome (112023424320211).

The spelling of 101002212120110 in words is "one hundred one trillion, two billion, two hundred twelve million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 823 1646 4115 5761 8230 11522 28805 41399 42349 57610 82798 84698 206995 211745 289793 296443 413990 423490 579586 592886 1448965 1482215 2897930 2964430 34071377 34853227 68142754 69706454 170356885 174266135 238499639 243972589 340713770 348532270 476999278 487945178 1192498195 1219862945 1753206251 2384996390 2439725890 3506412502 8766031255 12272443757 17532062510 24544887514 61362218785 122724437570 1442888744573 2885777489146 7214443722865 10100221212011 14428887445730 20200442424022 50501106060055 101002212120110