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101212020201012 = 223731199195316097
BaseRepresentation
bin10111000000110101000010…
…100000101101011000110100
3111021100202220201011010012020
4113000311002200231120310
5101231224204132413022
6555132054333553140
730214220132646150
oct2700650240553064
9437322821133166
10101212020201012
112a28185a8a2196
12b4276989457b0
134462338b19216
141adc98b8d6060
15ba7b548bb35c
hex5c0d4282d634

101212020201012 has 96 divisors (see below), whose sum is σ = 280005158092800. Its totient is φ = 27844262645760.

The previous prime is 101212020200923. The next prime is 101212020201037. The reversal of 101212020201012 is 210102020212101.

It is a super-2 number, since 2×1012120202010122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101212020200982 and 101212020201000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97139853 + ... + 98176244.

It is an arithmetic number, because the mean of its divisors is an integer number (2916720396800).

Almost surely, 2101212020201012 is an apocalyptic number.

101212020201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212020201012 is an abundant number, since it is smaller than the sum of its proper divisors (178793137891788).

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

101212020201012 is a wasteful number, since it uses less digits than its factorization.

101212020201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195316341 (or 195316339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101212020201012 its reverse (210102020212101), we get a palindrome (311314040413113).

The spelling of 101212020201012 in words is "one hundred one trillion, two hundred twelve billion, twenty million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 199 217 372 398 434 597 651 796 868 1194 1302 1393 2388 2604 2786 4179 5572 6169 8358 12338 16716 18507 24676 37014 43183 74028 86366 129549 172732 259098 518196 195316097 390632194 585948291 781264388 1171896582 1367212679 2343793164 2734425358 4101638037 5468850716 6054799007 8203276074 12109598014 16406552148 18164397021 24219196028 36328794042 38867903303 42383593049 72657588084 77735806606 84767186098 116603709909 127150779147 155471613212 169534372196 233207419818 254301558294 272075323121 466414839636 508603116588 544150646242 816225969363 1088301292484 1204905002393 1632451938726 2409810004786 3264903877452 3614715007179 4819620009572 7229430014358 8434335016751 14458860028716 16868670033502 25303005050253 33737340067004 50606010100506 101212020201012