100213102232001 has 16 divisors (see below), whose sum is σ = 161960569264320. Its totient is φ = 60735213473760.

The previous prime is 100213102231973. The next prime is 100213102232011. The reversal of 100213102232001 is 100232201312001.

100213102232001 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 310 + 22 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 100213102232001 - 2¹⁰ = 100213102230977 is a prime.

It is a super-2 number, since 2×100213102232001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100213102232011) 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, 168708926020 + ... + 168708926613.

It is an arithmetic number, because the mean of its divisors is an integer number (10122535579020).

Almost surely, 2^{100213102232001} is an apocalyptic number.

100213102232001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100213102232001 is a deficient number, since it is larger than the sum of its proper divisors (61747467032319).

100213102232001 is a wasteful number, since it uses less digits than its factorization.

100213102232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337417852653 (or 337417852647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100213102232001 its reverse (100232201312001), we get a palindrome (200445303544002).

The spelling of 100213102232001 in words is "one hundred trillion, two hundred thirteen billion, one hundred two million, two hundred thirty-two thousand, one".