10020013232112 has 240 divisors, whose sum is σ = 30927750497280. Its totient is φ = 3009068794368.

The previous prime is 10020013232093. The next prime is 10020013232143. The reversal of 10020013232112 is 21123231002001.

10020013232112 is a `hidden beast` number, since 1 + 0 + 0 + 200 + 132 + 321 + 12 = 666.

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

It is a congruent number.

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, 31427643 + ... + 31744869.

It is an arithmetic number, because the mean of its divisors is an integer number (128865627072).

Almost surely, 2^{10020013232112} is an apocalyptic number.

10020013232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020013232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463875248640).

10020013232112 is an abundant number, since it is smaller than the sum of its proper divisors (20907737265168).

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

10020013232112 is a wasteful number, since it uses less digits than its factorization.

10020013232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317660 (or 317651 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10020013232112 its reverse (21123231002001), we get a palindrome (31143244234113).

The spelling of 10020013232112 in words is "ten trillion, twenty billion, thirteen million, two hundred thirty-two thousand, one hundred twelve".