100512215001 has 96 divisors (see below), whose sum is σ = 169612185600. Its totient is φ = 56715759360.

The previous prime is 100512214993. The next prime is 100512215003.

100512215001 is a `hidden beast` number, since 1 + 0 + 0 + 512 + 2 + 150 + 0 + 1 = 666.

100512215001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100512215001 - 2³ = 100512214993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100512215003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34622116 + ... + 34625018.

It is an arithmetic number, because the mean of its divisors is an integer number (1766793600).

Almost surely, 2^100512215001 is an apocalyptic number.

100512215001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100512215001 is a deficient number, since it is larger than the sum of its proper divisors (69099970599).

100512215001 is a wasteful number, since it uses less digits than its factorization.

100512215001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

It can be divided in two parts, 100512 and 215001, that added together give a palindrome (315513).

The spelling of 100512215001 in words is "one hundred billion, five hundred twelve million, two hundred fifteen thousand, one".