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101100222100010 = 25741239147391457
BaseRepresentation
bin10110111111001100111010…
…110100110011001000101010
3111020222002100022022010221202
4112333030322310303020222
5101222411223324200020
6555004444552404202
730203151515530550
oct2677147264631052
9436862308263852
10101100222100010
112a2393aa7751a1
12b409a979a6662
13445492cc45733
141ad73c39b1bd0
15ba4cae9e2e75
hex5bf33ad3322a

101100222100010 has 64 divisors (see below), whose sum is σ = 213941649116160. Its totient is φ = 33675999866880.

The previous prime is 101100222099997. The next prime is 101100222100021. The reversal of 101100222100010 is 10001222001101.

It is a super-5 number, since 5×1011002221000105 (a number of 71 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100222099964 and 101100222100000.

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, 73009799 + ... + 74381658.

It is an arithmetic number, because the mean of its divisors is an integer number (3342838267440).

Almost surely, 2101100222100010 is an apocalyptic number.

101100222100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100222100010 is an abundant number, since it is smaller than the sum of its proper divisors (112841427016150).

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

101100222100010 is a wasteful number, since it uses less digits than its factorization.

101100222100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147391751.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100222100010 its reverse (10001222001101), we get a palindrome (111101444101111).

The spelling of 101100222100010 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, one hundred thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 239 287 410 478 574 1195 1435 1673 2390 2870 3346 8365 9799 16730 19598 48995 68593 97990 137186 342965 685930 147391457 294782914 736957285 1031740199 1473914570 2063480398 5158700995 6043049737 10317401990 12086099474 30215248685 35226558223 42301348159 60430497370 70453116446 84602696318 176132791115 211506740795 246585907561 352265582230 423013481590 493171815122 1232929537805 1444288887143 2465859075610 2888577774286 7221444435715 10110022210001 14442888871430 20220044420002 50550111050005 101100222100010