10111122122000 has 80 divisors (see below), whose sum is σ = 24450363350400. Its totient is φ = 4044172579200.

The previous prime is 10111122121999. The next prime is 10111122122011. The reversal of 10111122122000 is 22122111101.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30472991 + ... + 30803009.

It is an arithmetic number, because the mean of its divisors is an integer number (305629541880).

Almost surely, 2^{10111122122000} is an apocalyptic number.

10111122122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111122122000 is an abundant number, since it is smaller than the sum of its proper divisors (14339241228400).

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

10111122122000 is a wasteful number, since it uses less digits than its factorization.

10111122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345361 (or 345345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10111122122000 its reverse (22122111101), we get a palindrome (10133244233101).

The spelling of 10111122122000 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand".