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102221330013149 is a prime number
BaseRepresentation
bin10111001111100001000010…
…000100000101101111011101
3111101221021010020122000001012
4113033201002010011233131
5101344243240440410044
61001223455234025005
730350150564543504
oct2717410204055735
9441837106560035
10102221330013149
112a6309059847a6
12b56b218718165
134506578aba029
141b3577855d83b
15bc402860a59e
hex5cf842105bdd

102221330013149 has 2 divisors, whose sum is σ = 102221330013150. Its totient is φ = 102221330013148.

The previous prime is 102221330013059. The next prime is 102221330013161. The reversal of 102221330013149 is 941310033122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101893782120025 + 327547893124 = 10094245^2 + 572318^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221330013149 - 228 = 102221061577693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221330093149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110665006574 + 51110665006575.

It is an arithmetic number, because the mean of its divisors is an integer number (51110665006575).

Almost surely, 2102221330013149 is an apocalyptic number.

It is an amenable number.

102221330013149 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221330013149 is an equidigital number, since it uses as much as digits as its factorization.

102221330013149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 102221330013149 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred thirty million, thirteen thousand, one hundred forty-nine".