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101211121220 = 225111231373721
BaseRepresentation
bin101111001000010100…
…1110010011001000100
3100200020120120200020012
41132100221302121010
53124240021334340
6114255025325352
710212051223106
oct1362051623104
9320216520205
10101211121220
1139a18048430
1217747496858
13970c6c8c11
144c81c47576
152975720565
hex1790a72644

101211121220 has 48 divisors (see below), whose sum is σ = 232054454016. Its totient is φ = 36774048000.

The previous prime is 101211121199. The next prime is 101211121229. The reversal of 101211121220 is 22121112101.

It is a junction number, because it is equal to n+sod(n) for n = 101211121195 and 101211121204.

It is not an unprimeable number, because it can be changed into a prime (101211121229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83960 + ... + 457680.

It is an arithmetic number, because the mean of its divisors is an integer number (4834467792).

Almost surely, 2101211121220 is an apocalyptic number.

101211121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211121220 is an abundant number, since it is smaller than the sum of its proper divisors (130843332796).

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

101211121220 is a wasteful number, since it uses less digits than its factorization.

101211121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374972 (or 374970 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101211121220 its reverse (22121112101), we get a palindrome (123332233321).

The spelling of 101211121220 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1231 2462 4924 6155 12310 13541 24620 27082 54164 67705 135410 270820 373721 747442 1494884 1868605 3737210 4110931 7474420 8221862 16443724 20554655 41109310 82218620 460050551 920101102 1840202204 2300252755 4600505510 5060556061 9201011020 10121112122 20242224244 25302780305 50605560610 101211121220