10120000112112 has 160 divisors (see below), whose sum is σ = 30318294147840. Its totient is φ = 2876497920000.

The previous prime is 10120000112069. The next prime is 10120000112203. The reversal of 10120000112112 is 21121100002101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3980689 + ... + 6007152.

It is an arithmetic number, because the mean of its divisors is an integer number (189489338424).

Almost surely, 2^{10120000112112} is an apocalyptic number.

10120000112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120000112112 is an abundant number, since it is smaller than the sum of its proper divisors (20198294035728).

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

10120000112112 is a wasteful number, since it uses less digits than its factorization.

10120000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987983 (or 9987977 counting only the distinct ones).

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

Adding to 10120000112112 its reverse (21121100002101), we get a palindrome (31241100114213).

The spelling of 10120000112112 in words is "ten trillion, one hundred twenty billion, one hundred twelve thousand, one hundred twelve".