100112212100201 has 12 divisors (see below), whose sum is σ = 121540085478528. Its totient is φ = 80762792953152.

The previous prime is 100112212100171. The next prime is 100112212100203. The reversal of 100112212100201 is 102001212211001.

It is a de Polignac number, because none of the positive numbers 2^k-100112212100201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112212100203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24743500721 + ... + 24743504766.

It is an arithmetic number, because the mean of its divisors is an integer number (10128340456544).

Almost surely, 2^{100112212100201} is an apocalyptic number.

It is an amenable number.

100112212100201 is a deficient number, since it is larger than the sum of its proper divisors (21427873378327).

100112212100201 is an equidigital number, since it uses as much as digits as its factorization.

100112212100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49487005528 (or 49487005511 counting only the distinct ones).

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

Adding to 100112212100201 its reverse (102001212211001), we get a palindrome (202113424311202).

The spelling of 100112212100201 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, one hundred thousand, two hundred one".