10112102120120 has 128 divisors (see below), whose sum is σ = 30548448483840. Its totient is φ = 2909376023040.

The previous prime is 10112102120111. The next prime is 10112102120171. The reversal of 10112102120120 is 2102120121101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10112102120095 and 10112102120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126234962 + ... + 126315041.

It is an arithmetic number, because the mean of its divisors is an integer number (238659753780).

Almost surely, 2^{10112102120120} is an apocalyptic number.

10112102120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112102120120 is an abundant number, since it is smaller than the sum of its proper divisors (20436346363720).

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

10112102120120 is a wasteful number, since it uses less digits than its factorization.

10112102120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252550045 (or 252550041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112102120120 its reverse (2102120121101), we get a palindrome (12214222241221).

The spelling of 10112102120120 in words is "ten trillion, one hundred twelve billion, one hundred two million, one hundred twenty thousand, one hundred twenty".