21101012101157 has 2 divisors, whose sum is σ = 21101012101158. Its totient is φ = 21101012101156.

The previous prime is 21101012101063. The next prime is 21101012101219. The reversal of 21101012101157 is 75110121010112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13217012941441 + 7883999159716 = 3635521^2 + 2807846^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101012101157 - 2⁸ = 21101012100901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (24101012101157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550506050578 + 10550506050579.

It is an arithmetic number, because the mean of its divisors is an integer number (10550506050579).

Almost surely, 2^{21101012101157} is an apocalyptic number.

It is an amenable number.

21101012101157 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101012101157 is an equidigital number, since it uses as much as digits as its factorization.

21101012101157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 23.

Adding to 21101012101157 its reverse (75110121010112), we get a palindrome (96211133111269).

The spelling of 21101012101157 in words is "twenty-one trillion, one hundred one billion, twelve million, one hundred one thousand, one hundred fifty-seven".