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202100101157 is a prime number
BaseRepresentation
bin1011110000111000011…
…0101101000000100101
3201022122200222212200202
42330032012231000211
511302400111214112
6232502110320245
720413141341623
oct2741606550045
9638580885622
10202100101157
117878a269299
1233202ab9085
131609a444096
149ad2d96513
1553cca0b6c2
hex2f0e1ad025

202100101157 has 2 divisors, whose sum is σ = 202100101158. Its totient is φ = 202100101156.

The previous prime is 202100101141. The next prime is 202100101163. The reversal of 202100101157 is 751101001202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120988491556 + 81111609601 = 347834^2 + 284801^2 .

It is a cyclic number.

It is not a de Polignac number, because 202100101157 - 24 = 202100101141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202100101057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101050050578 + 101050050579.

It is an arithmetic number, because the mean of its divisors is an integer number (101050050579).

Almost surely, 2202100101157 is an apocalyptic number.

It is an amenable number.

202100101157 is a deficient number, since it is larger than the sum of its proper divisors (1).

202100101157 is an equidigital number, since it uses as much as digits as its factorization.

202100101157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 202100101157 its reverse (751101001202), we get a palindrome (953201102359).

The spelling of 202100101157 in words is "two hundred two billion, one hundred million, one hundred one thousand, one hundred fifty-seven".