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101122211021012 = 222914964385310667
BaseRepresentation
bin10110111111100001011001…
…011101111000000011010100
3111021001012002202100001220022
4112333201121131320003110
5101223241242010133022
6555022522531324312
730204560441344136
oct2677413135700324
9437035082301808
10101122211021012
112a247763963a85
12b4121b3a50698
134456a256b89ac
141ad84ac0ab056
15ba564a183c42
hex5bf8597780d4

101122211021012 has 96 divisors (see below), whose sum is σ = 184815034992000. Its totient is φ = 48353280579072.

The previous prime is 101122211021011. The next prime is 101122211021033. The reversal of 101122211021012 is 210120112221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122211021011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9479905703 + ... + 9479916369.

It is an arithmetic number, because the mean of its divisors is an integer number (1925156614500).

Almost surely, 2101122211021012 is an apocalyptic number.

It is an amenable number.

101122211021012 is a deficient number, since it is larger than the sum of its proper divisors (83692823970988).

101122211021012 is a wasteful number, since it uses less digits than its factorization.

101122211021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345 (or 12343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122211021012 its reverse (210120112221101), we get a palindrome (311242323242113).

The spelling of 101122211021012 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, twenty-one thousand, twelve".

Divisors: 1 2 4 29 58 116 149 298 596 643 853 1286 1706 2572 3412 4321 8642 10667 17284 18647 21334 24737 37294 42668 49474 74588 95807 98948 127097 191614 254194 309343 383228 508388 548479 618686 1096958 1237372 1589383 2193916 2778403 3178766 3685813 5556806 6357532 6858881 7371626 9098951 11113612 13717762 14743252 15905891 18197902 27435524 31811782 36395804 46092107 63623564 81723371 92184214 163446742 184368428 198907549 263869579 326893484 397815098 527739158 795630196 1021973269 1055478316 1355743699 2043946538 2369977759 2711487398 4087893076 4739955518 5422974796 5850625493 9479911036 11701250986 23402501972 29637224801 39316567271 59274449602 78633134542 118548899204 157266269084 169668139297 339336278594 678672557188 871743198457 1743486396914 3486972793828 25280552755253 50561105510506 101122211021012