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101012122200220 = 225711230928407227
BaseRepresentation
bin10110111101111010110111…
…101010010110100010011100
3111020122122221110210112022021
4112331322313222112202130
5101214440311240401340
6554500154530025524
730163612360662010
oct2675726752264234
9436578843715267
10101012122200220
112a205000668560
12b3b49ab4182a4
13444952c99080a
141ad30271a6540
15ba2855393e4a
hex5bdeb7a9689c

101012122200220 has 96 divisors (see below), whose sum is σ = 264582649013760. Its totient is φ = 31470661251840.

The previous prime is 101012122200211. The next prime is 101012122200239. The reversal of 101012122200220 is 22002221210101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101012122200194 and 101012122200203.

It is a congruent number.

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, 10647754 + ... + 17759473.

It is an arithmetic number, because the mean of its divisors is an integer number (2756069260560).

Almost surely, 2101012122200220 is an apocalyptic number.

101012122200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012122200220 is an abundant number, since it is smaller than the sum of its proper divisors (163570526813540).

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

101012122200220 is a wasteful number, since it uses less digits than its factorization.

101012122200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28409563 (or 28409561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101012122200220 its reverse (22002221210101), we get a palindrome (123014343410321).

The spelling of 101012122200220 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2309 4618 9236 11545 16163 23090 25399 32326 46180 50798 64652 80815 101596 126995 161630 177793 253990 323260 355586 507980 711172 888965 1777930 3555860 28407227 56814454 113628908 142036135 198850589 284072270 312479497 397701178 568144540 624958994 795402356 994252945 1249917988 1562397485 1988505890 2187356479 3124794970 3977011780 4374712958 6249589940 8749425916 10936782395 21873564790 43747129580 65592287143 131184574286 262369148572 327961435715 459146010001 655922871430 721515158573 918292020002 1311845742860 1443030317146 1836584040004 2295730050005 2886060634292 3607575792865 4591460100010 5050606110011 7215151585730 9182920200020 10101212220022 14430303171460 20202424440044 25253030550055 50506061100110 101012122200220