100571957201 has 8 divisors (see below), whose sum is σ = 101234882208. Its totient is φ = 99911196000.

The previous prime is 100571957183. The next prime is 100571957203. The reversal of 100571957201 is 102759175001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100571957201 is a prime.

It is a super-2 number, since 2×100571957201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100571957203) 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, 447635 + ... + 633656.

It is an arithmetic number, because the mean of its divisors is an integer number (12654360276).

Almost surely, 2^100571957201 is an apocalyptic number.

It is an amenable number.

100571957201 is a deficient number, since it is larger than the sum of its proper divisors (662925007).

100571957201 is a wasteful number, since it uses less digits than its factorization.

100571957201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081903.

The product of its (nonzero) digits is 22050, while the sum is 38.

The spelling of 100571957201 in words is "one hundred billion, five hundred seventy-one million, nine hundred fifty-seven thousand, two hundred one".