10112212110000 has 3200 divisors, whose sum is σ = 47481760972800. Its totient is φ = 1784125440000.

The previous prime is 10112212109977. The next prime is 10112212110059. The reversal of 10112212110000 is 1121221101.

10112212110000 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 21111089761 + ... + 21111090239.

It is an arithmetic number, because the mean of its divisors is an integer number (14838050304).

Almost surely, 2^{10112212110000} is an apocalyptic number.

10112212110000 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 10112212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23740880486400).

10112212110000 is an abundant number, since it is smaller than the sum of its proper divisors (37369548862800).

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

10112212110000 is a wasteful number, since it uses less digits than its factorization.

10112212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 576 counting only the distinct ones).

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

Adding to 10112212110000 its reverse (1121221101), we get a palindrome (10113333331101).

The spelling of 10112212110000 in words is "ten trillion, one hundred twelve billion, two hundred twelve million, one hundred ten thousand".