100421417961 has 48 divisors (see below), whose sum is σ = 160328488320. Its totient is φ = 60245475840.

The previous prime is 100421417947. The next prime is 100421417981. The reversal of 100421417961 is 169714124001.

100421417961 is a `hidden beast` number, since 1 + 0 + 0 + 421 + 4 + 179 + 61 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-100421417961 is a prime.

It is a super-2 number, since 2×100421417961² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100421417981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12456750 + ... + 12464808.

It is an arithmetic number, because the mean of its divisors is an integer number (3340176840).

Almost surely, 2^100421417961 is an apocalyptic number.

It is an amenable number.

100421417961 is a deficient number, since it is larger than the sum of its proper divisors (59907070359).

100421417961 is a wasteful number, since it uses less digits than its factorization.

100421417961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 100421417961 in words is "one hundred billion, four hundred twenty-one million, four hundred seventeen thousand, nine hundred sixty-one".