20100001022000 has 80 divisors (see below), whose sum is σ = 48608449616064. Its totient is φ = 8038900800000.

The previous prime is 20100001021973. The next prime is 20100001022029. The reversal of 20100001022000 is 22010000102.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 14018420 + ... + 15385580.

Almost surely, 2^{20100001022000} is an apocalyptic number.

20100001022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100001022000 is an abundant number, since it is smaller than the sum of its proper divisors (28508448594064).

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

20100001022000 is a wasteful number, since it uses less digits than its factorization.

20100001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374535 (or 1374519 counting only the distinct ones).

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

Adding to 20100001022000 its reverse (22010000102), we get a palindrome (20122011022102).

The spelling of 20100001022000 in words is "twenty trillion, one hundred billion, one million, twenty-two thousand".