100201957 has 8 divisors (see below), whose sum is σ = 103060256. Its totient is φ = 97351632.

The previous prime is 100201949. The next prime is 100201963. The reversal of 100201957 is 759102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201957 - 2³ = 100201949 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 (100201357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31138 + ... + 34204.

It is an arithmetic number, because the mean of its divisors is an integer number (12882532).

Almost surely, 2^100201957 is an apocalyptic number.

It is an amenable number.

100201957 is a deficient number, since it is larger than the sum of its proper divisors (2858299).

100201957 is an equidigital number, since it uses as much as digits as its factorization.

100201957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 100201957 is about 10010.0927568130. The cubic root of 100201957 is about 464.4711403659.

Adding to 100201957 its reverse (759102001), we get a palindrome (859303958).

The spelling of 100201957 in words is "one hundred million, two hundred one thousand, nine hundred fifty-seven".