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10091009101 is a prime number
BaseRepresentation
bin10010110010111100…
…01001010001001101
3222001021000101010211
421121132021101031
5131131244242401
64345153202421
7505031106415
oct113136112115
928037011124
1010091009101
114309125548
121b57560411
13c4a803804
146ba293645
153e0d88951
hex25978944d

10091009101 has 2 divisors, whose sum is σ = 10091009102. Its totient is φ = 10091009100.

The previous prime is 10091009021. The next prime is 10091009111. The reversal of 10091009101 is 10190019001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8993677225 + 1097331876 = 94835^2 + 33126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10091009101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10091009111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045504550 + 5045504551.

It is an arithmetic number, because the mean of its divisors is an integer number (5045504551).

Almost surely, 210091009101 is an apocalyptic number.

It is an amenable number.

10091009101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091009101 is an equidigital number, since it uses as much as digits as its factorization.

10091009101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 22.

Multiplying 10091009101 by its sum of digits (22), we get a palindrome (222002200222).

The spelling of 10091009101 in words is "ten billion, ninety-one million, nine thousand, one hundred one".