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101012202001220 = 22547821130888903
BaseRepresentation
bin10110111101111010111100…
…011010110001001101000100
3111020122200011000221211200212
4112331322330122301031010
5101214440442203014340
6554500210500254552
730163614350165666
oct2675727432611504
9436580130854625
10101012202001220
112a2050417131a4
12b3b4a120a1458
134449543381443
141ad3033a1a536
15ba285c3a8a65
hex5bdebc6b1344

101012202001220 has 48 divisors (see below), whose sum is σ = 216902809041408. Its totient is φ = 39497035067520.

The previous prime is 101012202001219. The next prime is 101012202001351. The reversal of 101012202001220 is 22100202210101.

101012202001220 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 = 101012202001195 and 101012202001204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64672712 + ... + 66216191.

It is an arithmetic number, because the mean of its divisors is an integer number (4518808521696).

Almost surely, 2101012202001220 is an apocalyptic number.

101012202001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012202001220 is an abundant number, since it is smaller than the sum of its proper divisors (115890607040188).

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

101012202001220 is a wasteful number, since it uses less digits than its factorization.

101012202001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130889780 (or 130889778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101012202001220 its reverse (22100202210101), we get a palindrome (123112404211321).

The spelling of 101012202001220 in words is "one hundred one trillion, twelve billion, two hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 821 940 1642 3284 4105 8210 16420 38587 77174 154348 192935 385870 771740 130888903 261777806 523555612 654444515 1308889030 2617778060 6151778441 12303556882 24607113764 30758892205 61517784410 107459789363 123035568820 214919578726 429839157452 537298946815 1074597893630 2149195787260 5050610100061 10101220200122 20202440400244 25253050500305 50506101000610 101012202001220