10012112000000 has 616 divisors, whose sum is σ = 27538194381600. Its totient is φ = 3608064000000.

The previous prime is 10012111999973. The next prime is 10012112000003. The reversal of 10012112000000 is 21121001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012112000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28687999826 + ... + 28688000174.

Almost surely, 2^{10012112000000} is an apocalyptic number.

10012112000000 is a gapful number since it is divisible by the number (10) 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 10012112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769097190800).

10012112000000 is an abundant number, since it is smaller than the sum of its proper divisors (17526082381600).

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

10012112000000 is an frugal number, since it uses more digits than its factorization.

10012112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012112000000 its reverse (21121001), we get a palindrome (10012133121001).

It can be divided in two parts, 100121 and 12000000, that added together give a palindrome (12100121).

The spelling of 10012112000000 in words is "ten trillion, twelve billion, one hundred twelve million", and thus it is an aban number.