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101101020211212 = 223714922935273983
BaseRepresentation
bin10110111111001101101010…
…011001010110100000001100
3111020222011101221002101200220
4112333031222121112200030
5101222414342133224322
6555005100102551340
730203210346416430
oct2677155231264014
9436864357071626
10101101020211212
112a23977a235a2a
12b40a07b138550
134454a293b6998
141ad745b9a89c0
15ba4d09ae555c
hex5bf36a65680c

101101020211212 has 96 divisors (see below), whose sum is σ = 272597348352000. Its totient is φ = 28566845966592.

The previous prime is 101101020211207. The next prime is 101101020211291. The reversal of 101101020211212 is 212112020101101.

It is a happy number.

101101020211212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101101020211191 and 101101020211200.

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, 14770828 + ... + 20503155.

It is an arithmetic number, because the mean of its divisors is an integer number (2839555712000).

Almost surely, 2101101020211212 is an apocalyptic number.

101101020211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101020211212 is an abundant number, since it is smaller than the sum of its proper divisors (171496328140788).

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

101101020211212 is a wasteful number, since it uses less digits than its factorization.

101101020211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35274375 (or 35274373 counting only the distinct ones).

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

Adding to 101101020211212 its reverse (212112020101101), we get a palindrome (313213040312313).

The spelling of 101101020211212 in words is "one hundred one trillion, one hundred one billion, twenty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 229 298 447 458 596 687 894 916 1043 1374 1603 1788 2086 2748 3129 3206 4172 4809 6258 6412 9618 12516 19236 34121 68242 102363 136484 204726 238847 409452 477694 716541 955388 1433082 2866164 35273983 70547966 105821949 141095932 211643898 246917881 423287796 493835762 740753643 987671524 1481507286 2963014572 5255823467 8077742107 10511646934 15767470401 16155484214 21023293868 24233226321 31534940802 32310968428 36790764269 48466452642 56544194749 63069881604 73581528538 96932905284 110372292807 113088389498 147163057076 169632584247 220744585614 226176778996 339265168494 441489171228 678530336988 1203583573943 2407167147886 3610750721829 4814334295772 7221501443658 8425085017601 14443002887316 16850170035202 25275255052803 33700340070404 50550510105606 101101020211212