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101002010020212 = 223711357118635291
BaseRepresentation
bin10110111101110001011100…
…111011011100100101110100
3111020121200211201221120010210
4112331301130323130211310
5101214304104031121322
6554451403254545420
730163103651605440
oct2675613473344564
9436550751846123
10101002010020212
112a2007915a2aa4
12b3b2a48968270
1344485aa986952
141ad27481a1820
15ba246272770c
hex5bdc5cedc974

101002010020212 has 96 divisors (see below), whose sum is σ = 272198107044864. Its totient is φ = 28552245926400.

The previous prime is 101002010020147. The next prime is 101002010020217. The reversal of 101002010020212 is 212020010200101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002010020217) 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, 3897714 + ... + 14737577.

It is an arithmetic number, because the mean of its divisors is an integer number (2835396948384).

Almost surely, 2101002010020212 is an apocalyptic number.

101002010020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002010020212 is an abundant number, since it is smaller than the sum of its proper divisors (171196097024652).

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

101002010020212 is a wasteful number, since it uses less digits than its factorization.

101002010020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18635989 (or 18635987 counting only the distinct ones).

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

Adding to 101002010020212 its reverse (212020010200101), we get a palindrome (313022020220313).

The spelling of 101002010020212 in words is "one hundred one trillion, two billion, ten million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 571 678 791 1142 1356 1582 1713 2284 2373 3164 3426 3997 4746 6852 7994 9492 11991 15988 23982 47964 64523 129046 193569 258092 387138 451661 774276 903322 1354983 1806644 2709966 5419932 18635291 37270582 55905873 74541164 111811746 130447037 223623492 260894074 391341111 521788148 782682222 1565364444 2105787883 4211575766 6317363649 8423151532 10640751161 12634727298 14740515181 21281502322 25269454596 29481030362 31922253483 42563004644 44221545543 58962060724 63844506966 74485258127 88443091086 127689013932 148970516254 176886182172 223455774381 297941032508 446911548762 893823097524 1202404881193 2404809762386 3607214643579 4809619524772 7214429287158 8416834168351 14428858574316 16833668336702 25250502505053 33667336673404 50501005010106 101002010020212