20021012002000 has 80 divisors (see below), whose sum is σ = 48422926051344. Its totient is φ = 8006400000000.

The previous prime is 20021012001973. The next prime is 20021012002021. The reversal of 20021012002000 is 20021012002.

It can be written as a sum of positive squares in 8 ways, for example, as 6201235491984 + 13819776510016 = 2490228^2 + 3717496^2 .

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 (10).

It is a congruent number.

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, 6751000 + ... + 9253000.

Almost surely, 2^{20021012002000} is an apocalyptic number.

20021012002000 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 20021012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24211463025672).

20021012002000 is an abundant number, since it is smaller than the sum of its proper divisors (28401914049344).

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

20021012002000 is a wasteful number, since it uses less digits than its factorization.

20021012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506025 (or 2506009 counting only the distinct ones).

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

Adding to 20021012002000 its reverse (20021012002), we get a palindrome (20041033014002).

20021012002000 divided by its reverse (20021012002) gives a cube (1000 = 10³).

The spelling of 20021012002000 in words is "twenty trillion, twenty-one billion, twelve million, two thousand".