100201157 has 16 divisors (see below), whose sum is σ = 116006400. Its totient is φ = 84777840.

The previous prime is 100201147. The next prime is 100201163. The reversal of 100201157 is 751102001.

It is not a de Polignac number, because 100201157 - 2⁴ = 100201141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264194 + ... + 264572.

It is an arithmetic number, because the mean of its divisors is an integer number (7250400).

Almost surely, 2^100201157 is an apocalyptic number.

It is an amenable number.

100201157 is a deficient number, since it is larger than the sum of its proper divisors (15805243).

100201157 is a wasteful number, since it uses less digits than its factorization.

100201157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 100201157 is about 10010.0527970636. The cubic root of 100201157 is about 464.4699042693.

Adding to 100201157 its reverse (751102001), we get a palindrome (851303158).

The spelling of 100201157 in words is "one hundred million, two hundred one thousand, one hundred fifty-seven".