101873894961 has 16 divisors (see below), whose sum is σ = 138336232320. Its totient is φ = 66671955840.

The previous prime is 101873894957. The next prime is 101873894977. The reversal of 101873894961 is 169498378101.

It is not a de Polignac number, because 101873894961 - 2² = 101873894957 is a prime.

It is a super-2 number, since 2×101873894961² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101873894261) 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, 976726 + ... + 1075983.

It is an arithmetic number, because the mean of its divisors is an integer number (8646014520).

Almost surely, 2^101873894961 is an apocalyptic number.

It is an amenable number.

101873894961 is a deficient number, since it is larger than the sum of its proper divisors (36462337359).

101873894961 is a wasteful number, since it uses less digits than its factorization.

101873894961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053016.

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 101873894961 in words is "one hundred one billion, eight hundred seventy-three million, eight hundred ninety-four thousand, nine hundred sixty-one".