10110122122000 has 160 divisors (see below), whose sum is σ = 25889520893184. Its totient is φ = 3805394688000.

The previous prime is 10110122121947. The next prime is 10110122122019. The reversal of 10110122122000 is 22122101101.

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, 185034685 + ... + 185089315.

Almost surely, 2^{10110122122000} is an apocalyptic number.

10110122122000 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 10110122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944760446592).

10110122122000 is an abundant number, since it is smaller than the sum of its proper divisors (15779398771184).

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

10110122122000 is a wasteful number, since it uses less digits than its factorization.

10110122122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60114 (or 60098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10110122122000 its reverse (22122101101), we get a palindrome (10132244223101).

It can be divided in two parts, 101 and 10122122000, that added together give a palindrome (10122122101).

The spelling of 10110122122000 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand".