2114010104112 has 60 divisors (see below), whose sum is σ = 6264309359880. Its totient is φ = 663218855424.

The previous prime is 2114010104051. The next prime is 2114010104123.

2114010104112 is a `hidden beast` number, since 211 + 40 + 1 + 0 + 1 + 0 + 411 + 2 = 666.

2114010104112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2114010104112³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 431780662 + ... + 431785557.

It is an arithmetic number, because the mean of its divisors is an integer number (104405155998).

Almost surely, 2^{2114010104112} is an apocalyptic number.

It is an amenable number.

2114010104112 is an abundant number, since it is smaller than the sum of its proper divisors (4150299255768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2114010104112 is a wasteful number, since it uses less digits than its factorization.

2114010104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863566250 (or 863566241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2114010 and 104112, that added together give a palindrome (2218122).

The spelling of 2114010104112 in words is "two trillion, one hundred fourteen billion, ten million, one hundred four thousand, one hundred twelve".