100112020211001 has 256 divisors, whose sum is σ = 152662546685952. Its totient is φ = 58071416832000.

The previous prime is 100112020210991. The next prime is 100112020211051.

100112020211001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100112020211001 - 2¹¹ = 100112020208953 is a prime.

It is a super-2 number, since 2×100112020211001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112020211051) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 101021210616 + ... + 101021211606.

It is an arithmetic number, because the mean of its divisors is an integer number (596338072992).

Almost surely, 2^{100112020211001} is an apocalyptic number.

It is an amenable number.

100112020211001 is a deficient number, since it is larger than the sum of its proper divisors (52550526474951).

100112020211001 is a wasteful number, since it uses less digits than its factorization.

100112020211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 100112020211001 in words is "one hundred trillion, one hundred twelve billion, twenty million, two hundred eleven thousand, one".