100012022133001 has 16 divisors (see below), whose sum is σ = 114861694737600. Its totient is φ = 86123240755200.

The previous prime is 100012022132969. The next prime is 100012022133047. The reversal of 100012022133001 is 100331220210001.

It is not a de Polignac number, because 100012022133001 - 2⁵ = 100012022132969 is a prime.

It is a super-2 number, since 2×100012022133001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012022133061) 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, 30419256 + ... + 33546313.

It is an arithmetic number, because the mean of its divisors is an integer number (7178855921100).

Almost surely, 2^{100012022133001} is an apocalyptic number.

100012022133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012022133001 is a deficient number, since it is larger than the sum of its proper divisors (14849672604599).

100012022133001 is a wasteful number, since it uses less digits than its factorization.

100012022133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63973080.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100012022133001 its reverse (100331220210001), we get a palindrome (200343242343002).

The spelling of 100012022133001 in words is "one hundred trillion, twelve billion, twenty-two million, one hundred thirty-three thousand, one".