20100110122000 has 160 divisors (see below), whose sum is σ = 49674846499200. Its totient is φ = 7864051392000.

The previous prime is 20100110121979. The next prime is 20100110122013. The reversal of 20100110122000 is 22101100102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21377791 + ... + 22298209.

It is an arithmetic number, because the mean of its divisors is an integer number (310467790620).

Almost surely, 2^{20100110122000} is an apocalyptic number.

20100110122000 is a gapful number since it is divisible by the number (20) 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 20100110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837423249600).

20100110122000 is an abundant number, since it is smaller than the sum of its proper divisors (29574736377200).

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

20100110122000 is a wasteful number, since it uses less digits than its factorization.

20100110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920682 (or 920666 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20100110122000 its reverse (22101100102), we get a palindrome (20122211222102).

The spelling of 20100110122000 in words is "twenty trillion, one hundred billion, one hundred ten million, one hundred twenty-two thousand".