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101020020121220 = 22537313541557657
BaseRepresentation
bin10110111110000010001110…
…011010100001111010000100
3111020200102022220010111010212
4112332002032122201322010
5101220103000122334340
6554503542341534552
730164312162130524
oct2676021632417204
9436612286114125
10101020020121220
112a2083938544a2
12b3b6434414458
13444a1bb012a55
141ad357609b684
15ba2b68928a65
hex5be08e6a1e84

101020020121220 has 24 divisors (see below), whose sum is σ = 212710787691864. Its totient is φ = 40299675584256.

The previous prime is 101020020121199. The next prime is 101020020121259. The reversal of 101020020121220 is 22121020020101.

It can be written as a sum of positive squares in 4 ways, for example, as 1769490569284 + 99250529551936 = 1330222^2 + 9962456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101020020121195 and 101020020121204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6770771369 + ... + 6770786288.

It is an arithmetic number, because the mean of its divisors is an integer number (8862949487161).

Almost surely, 2101020020121220 is an apocalyptic number.

101020020121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020020121220 is an abundant number, since it is smaller than the sum of its proper divisors (111690767570644).

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

101020020121220 is a wasteful number, since it uses less digits than its factorization.

101020020121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541558039 (or 13541558037 counting only the distinct ones).

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

Adding to 101020020121220 its reverse (22121020020101), we get a palindrome (123141040141321).

The spelling of 101020020121220 in words is "one hundred one trillion, twenty billion, twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 13541557657 27083115314 54166230628 67707788285 135415576570 270831153140 5051001006061 10102002012122 20204004024244 25255005030305 50510010060610 101020020121220