10120001012112 has 160 divisors (see below), whose sum is σ = 27115477069824. Its totient is φ = 3248945625600.

The previous prime is 10120001012063. The next prime is 10120001012131. The reversal of 10120001012112 is 21121010002101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738530162 + ... + 1738535982.

Almost surely, 2^{10120001012112} is an apocalyptic number.

10120001012112 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 10120001012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557738534912).

10120001012112 is an abundant number, since it is smaller than the sum of its proper divisors (16995476057712).

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

10120001012112 is a wasteful number, since it uses less digits than its factorization.

10120001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237 (or 11231 counting only the distinct ones).

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

Adding to 10120001012112 its reverse (21121010002101), we get a palindrome (31241011014213).

The spelling of 10120001012112 in words is "ten trillion, one hundred twenty billion, one million, twelve thousand, one hundred twelve".