20102001022000 has 160 divisors (see below), whose sum is σ = 49365908040384. Its totient is φ = 7915362048000.

The previous prime is 20102001021919. The next prime is 20102001022009. The reversal of 20102001022000 is 22010020102.

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

It is not an unprimeable number, because it can be changed into a prime (20102001022009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198403354 + ... + 198504646.

Almost surely, 2^{20102001022000} is an apocalyptic number.

20102001022000 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 20102001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24682954020192).

20102001022000 is an abundant number, since it is smaller than the sum of its proper divisors (29263907018384).

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

20102001022000 is a wasteful number, since it uses less digits than its factorization.

20102001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102864 (or 102848 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20102001022000 its reverse (22010020102), we get a palindrome (20124011042102).

The spelling of 20102001022000 in words is "twenty trillion, one hundred two billion, one million, twenty-two thousand".