10112100012120 has 64 divisors (see below), whose sum is σ = 30339213189120. Its totient is φ = 2696301056384.

The previous prime is 10112100012059. The next prime is 10112100012127. The reversal of 10112100012120 is 2121000121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10112100012096 and 10112100012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112100012127) 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, 2789592 + ... + 5292071.

It is an arithmetic number, because the mean of its divisors is an integer number (474050206080).

Almost surely, 2^{10112100012120} is an apocalyptic number.

10112100012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112100012120 is an abundant number, since it is smaller than the sum of its proper divisors (20227113177000).

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

10112100012120 is a wasteful number, since it uses less digits than its factorization.

10112100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092104 (or 8092100 counting only the distinct ones).

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

Adding to 10112100012120 its reverse (2121000121101), we get a palindrome (12233100133221).

The spelling of 10112100012120 in words is "ten trillion, one hundred twelve billion, one hundred million, twelve thousand, one hundred twenty".