10120102113132 has 144 divisors (see below), whose sum is σ = 28926100449792. Its totient is φ = 2956650618240.

The previous prime is 10120102113109. The next prime is 10120102113161. The reversal of 10120102113132 is 23131120102101.

10120102113132 is a `hidden beast` number, since 10 + 120 + 10 + 211 + 313 + 2 = 666.

10120102113132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2810763 + ... + 5304770.

It is an arithmetic number, because the mean of its divisors is an integer number (200875697568).

Almost surely, 2^{10120102113132} is an apocalyptic number.

10120102113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120102113132 is an abundant number, since it is smaller than the sum of its proper divisors (18805998336660).

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

10120102113132 is a wasteful number, since it uses less digits than its factorization.

10120102113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115668 (or 8115663 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10120102113132 its reverse (23131120102101), we get a palindrome (33251222215233).

The spelling of 10120102113132 in words is "ten trillion, one hundred twenty billion, one hundred two million, one hundred thirteen thousand, one hundred thirty-two".