2112112102031 has 16 divisors (see below), whose sum is σ = 2140151030784. Its totient is φ = 2084270598144.

The previous prime is 2112112101971. The next prime is 2112112102033. The reversal of 2112112102031 is 1302012112112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2112112102031 - 2¹⁰ = 2112112101007 is a prime.

It is a super-2 number, since 2×2112112102031² (a number of 25 digits) 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 (2112112102033) 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, 28162775 + ... + 28237671.

It is an arithmetic number, because the mean of its divisors is an integer number (133759439424).

Almost surely, 2^{2112112102031} is an apocalyptic number.

2112112102031 is a deficient number, since it is larger than the sum of its proper divisors (28038928753).

2112112102031 is a wasteful number, since it uses less digits than its factorization.

2112112102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76210.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2112112102031 its reverse (1302012112112), we get a palindrome (3414124214143).

The spelling of 2112112102031 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred two thousand, thirty-one".