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102221220022110 = 23357219653622751
BaseRepresentation
bin10111001111100000111011…
…100000100000011101011110
3111101221020211120122212201000
4113033200323200200131132
5101344243024311201420
61001223440304331130
730350145060620100
oct2717407340403536
9441836746585630
10102221220022110
112a630859889912
12b56b1a7913aa6
13450655c088a87
141b35767acb570
15bc401db30690
hex5cf83b82075e

102221220022110 has 384 divisors, whose sum is σ = 334295266406400. Its totient is φ = 22101188256000.

The previous prime is 102221220022093. The next prime is 102221220022139. The reversal of 102221220022110 is 11220022122201.

It is a happy number.

102221220022110 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 220 + 0 + 221 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163833235 + ... + 164455985.

It is an arithmetic number, because the mean of its divisors is an integer number (870560589600).

Almost surely, 2102221220022110 is an apocalyptic number.

102221220022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221220022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167147633203200).

102221220022110 is an abundant number, since it is smaller than the sum of its proper divisors (232074046384290).

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

102221220022110 is a wasteful number, since it uses less digits than its factorization.

102221220022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623453 (or 623440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221220022110 its reverse (11220022122201), we get a palindrome (113441242144311).

The spelling of 102221220022110 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, one hundred ten".