10112012100213 has 16 divisors (see below), whose sum is σ = 14276007383616. Its totient is φ = 6344691641600.

The previous prime is 10112012100139. The next prime is 10112012100233. The reversal of 10112012100213 is 31200121021101.

It is a cyclic number.

It is not a de Polignac number, because 10112012100213 - 2²⁴ = 10111995322997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112012100192 and 10112012100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112012100233) 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, 1760938 + ... + 4829588.

It is an arithmetic number, because the mean of its divisors is an integer number (892250461476).

Almost surely, 2^{10112012100213} is an apocalyptic number.

It is an amenable number.

10112012100213 is a deficient number, since it is larger than the sum of its proper divisors (4163995283403).

10112012100213 is a wasteful number, since it uses less digits than its factorization.

10112012100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133284.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10112012100213 its reverse (31200121021101), we get a palindrome (41312133121314).

The spelling of 10112012100213 in words is "ten trillion, one hundred twelve billion, twelve million, one hundred thousand, two hundred thirteen".