10122102122000 has 160 divisors (see below), whose sum is σ = 26702809660800. Its totient is φ = 3680413632000.

The previous prime is 10122102121987. The next prime is 10122102122017. The reversal of 10122102122000 is 22120122101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382544771 + ... + 382571229.

It is an arithmetic number, because the mean of its divisors is an integer number (166892560380).

Almost surely, 2^{10122102122000} is an apocalyptic number.

10122102122000 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 10122102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351404830400).

10122102122000 is an abundant number, since it is smaller than the sum of its proper divisors (16580707538800).

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

10122102122000 is a wasteful number, since it uses less digits than its factorization.

10122102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43882 (or 43866 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122102122000 its reverse (22120122101), we get a palindrome (10144222244101).

The spelling of 10122102122000 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand".