2112113101 has 12 divisors (see below), whose sum is σ = 2467784448. Its totient is φ = 1802397912.

The previous prime is 2112113083. The next prime is 2112113137. The reversal of 2112113101 is 1013112112.

It is a happy number.

It is not a de Polignac number, because 2112113101 - 2⁷ = 2112112973 is a prime.

It is a super-2 number, since 2×2112113101² = 8922043502831672402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112117101) 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, 83821 + ... + 106066.

It is an arithmetic number, because the mean of its divisors is an integer number (205648704).

Almost surely, 2^2112113101 is an apocalyptic number.

It is an amenable number.

2112113101 is a deficient number, since it is larger than the sum of its proper divisors (355671347).

2112113101 is a wasteful number, since it uses less digits than its factorization.

2112113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190128 (or 190121 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 2112113101 is about 45957.7316781409. The cubic root of 2112113101 is about 1283.0366340731.

Adding to 2112113101 its reverse (1013112112), we get a palindrome (3125225213).

The spelling of 2112113101 in words is "two billion, one hundred twelve million, one hundred thirteen thousand, one hundred one".