100112212101 has 32 divisors (see below), whose sum is σ = 154238515200. Its totient is φ = 57084634880.

The previous prime is 100112212093. The next prime is 100112212133. The reversal of 100112212101 is 101212211001.

It is a cyclic number.

It is not a de Polignac number, because 100112212101 - 2³ = 100112212093 is a prime.

It is a super-2 number, since 2×100112212101² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618420 + ... + 1679138.

It is an arithmetic number, because the mean of its divisors is an integer number (4819953600).

Almost surely, 2^100112212101 is an apocalyptic number.

100112212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112212101 is a deficient number, since it is larger than the sum of its proper divisors (54126303099).

100112212101 is a wasteful number, since it uses less digits than its factorization.

100112212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63689.

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

Adding to 100112212101 its reverse (101212211001), we get a palindrome (201324423102).

It can be divided in two parts, 100112 and 212101, that added together give a palindrome (312213).

The spelling of 100112212101 in words is "one hundred billion, one hundred twelve million, two hundred twelve thousand, one hundred one".