101102157 has 12 divisors (see below), whose sum is σ = 157270204. Its totient is φ = 62216640.

The previous prime is 101102147. The next prime is 101102171. The reversal of 101102157 is 751201101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52577001 + 48525156 = 7251^2 + 6966^2 .

It is not a de Polignac number, because 101102157 - 2¹⁵ = 101069389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431944 + ... + 432177.

Almost surely, 2^101102157 is an apocalyptic number.

It is an amenable number.

101102157 is a deficient number, since it is larger than the sum of its proper divisors (56168047).

101102157 is a wasteful number, since it uses less digits than its factorization.

101102157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864140 (or 864137 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 101102157 is about 10054.9568373017. The cubic root of 101102157 is about 465.8579097941.

Adding to 101102157 its reverse (751201101), we get a palindrome (852303258).

The spelling of 101102157 in words is "one hundred one million, one hundred two thousand, one hundred fifty-seven".