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101020121011212 = 223135970639155377
BaseRepresentation
bin10110111110000010010100…
…011011011001010000001100
3111020200102120220222020012020
4112332002110123121100030
5101220103201434324322
6554504000344210140
730164314525520454
oct2676022433312014
9436612526866166
10101020121011212
112a2084357a3657
12b3b6462169950
13444a205ba8680
141ad3585640d64
15ba2b7270705c
hex5be0946d940c

101020121011212 has 96 divisors (see below), whose sum is σ = 258153213158400. Its totient is φ = 30555652488192.

The previous prime is 101020121011171. The next prime is 101020121011231. The reversal of 101020121011212 is 212110121020101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101020121011191 and 101020121011200.

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, 650083668 + ... + 650239044.

It is an arithmetic number, because the mean of its divisors is an integer number (2689095970400).

Almost surely, 2101020121011212 is an apocalyptic number.

101020121011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020121011212 is an abundant number, since it is smaller than the sum of its proper divisors (157133092147188).

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

101020121011212 is a wasteful number, since it uses less digits than its factorization.

101020121011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226095 (or 226093 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101020121011212 its reverse (212110121020101), we get a palindrome (313130242031313).

The spelling of 101020121011212 in words is "one hundred one trillion, twenty billion, one hundred twenty-one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 4602 9204 70639 141278 155377 211917 282556 310754 423834 466131 621508 847668 918307 932262 1836614 1864524 2019901 2754921 3673228 4039802 4167701 5509842 6059703 8079604 8335402 9167243 11019684 12119406 12503103 16670804 18334486 24238812 25006206 27501729 36668972 50012412 54180113 55003458 108360226 110006916 119174159 162540339 216720452 238348318 325080678 357522477 476696636 650161356 715044954 1430089908 10975675903 21951351806 32927027709 43902703612 65854055418 131708110836 142683786739 285367573478 428051360217 570735146956 647564878277 856102720434 1295129756554 1712205440868 1942694634831 2590259513108 3885389269662 7770778539324 8418343417601 16836686835202 25255030252803 33673373670404 50510060505606 101020121011212