100112202211001 has 16 divisors (see below), whose sum is σ = 100605873312000. Its totient is φ = 99619179262848.

The previous prime is 100112202210971. The next prime is 100112202211051.

100112202211001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112202211001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112202211051) 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, 2192199170 + ... + 2192244836.

It is an arithmetic number, because the mean of its divisors is an integer number (6287867082000).

Almost surely, 2^{100112202211001} is an apocalyptic number.

It is an amenable number.

100112202211001 is a deficient number, since it is larger than the sum of its proper divisors (493671100999).

100112202211001 is a wasteful number, since it uses less digits than its factorization.

100112202211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52528.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10011220 and 2211001, that added together give a palindrome (12222221).

The spelling of 100112202211001 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, one".