100112210112201 has 32 divisors (see below), whose sum is σ = 159185603082240. Its totient is φ = 54719383597824.

The previous prime is 100112210112199. The next prime is 100112210112269. The reversal of 100112210112201 is 102211012211001.

It is a happy number.

It is not a de Polignac number, because 100112210112201 - 2¹ = 100112210112199 is a prime.

It is a super-2 number, since 2×100112210112201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112210112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92982721 + ... + 94053233.

It is an arithmetic number, because the mean of its divisors is an integer number (4974550096320).

Almost surely, 2^{100112210112201} is an apocalyptic number.

It is an amenable number.

100112210112201 is a deficient number, since it is larger than the sum of its proper divisors (59073392970039).

100112210112201 is a wasteful number, since it uses less digits than its factorization.

100112210112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264165.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112210112201 its reverse (102211012211001), we get a palindrome (202323222323202).

The spelling of 100112210112201 in words is "one hundred trillion, one hundred twelve billion, two hundred ten million, one hundred twelve thousand, two hundred one".