10122112110000 has 800 divisors, whose sum is σ = 36409953685248. Its totient is φ = 2401781760000.

The previous prime is 10122112109999. The next prime is 10122112110029. The reversal of 10122112110000 is 1121122101.

10122112110000 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 159 ways as a sum of consecutive naturals, for example, 3300328467 + ... + 3300331533.

Almost surely, 2^{10122112110000} is an apocalyptic number.

10122112110000 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 10122112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204976842624).

10122112110000 is an abundant number, since it is smaller than the sum of its proper divisors (26287841575248).

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

10122112110000 is a wasteful number, since it uses less digits than its factorization.

10122112110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3298 counting only the distinct ones).

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

Adding to 10122112110000 its reverse (1121122101), we get a palindrome (10123233232101).

It can be divided in two parts, 101221 and 12110000, that added together give a palindrome (12211221).

The spelling of 10122112110000 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, one hundred ten thousand".