20001020002100 has 72 divisors (see below), whose sum is σ = 45027493707000. Its totient is φ = 7702398144000.

The previous prime is 20001020002043. The next prime is 20001020002141. The reversal of 20001020002100 is 120002010002.

It can be written as a sum of positive squares in 12 ways, for example, as 3719181676324 + 16281838325776 = 1928518^2 + 4035076^2 .

It is a super-2 number, since 2×20001020002100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8868851 + ... + 10893050.

Almost surely, 2^{20001020002100} is an apocalyptic number.

20001020002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001020002100 is an abundant number, since it is smaller than the sum of its proper divisors (25026473704900).

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

20001020002100 is a wasteful number, since it uses less digits than its factorization.

20001020002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19762293 (or 19762286 counting only the distinct ones).

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

Adding to 20001020002100 its reverse (120002010002), we get a palindrome (20121022012102).

The spelling of 20001020002100 in words is "twenty trillion, one billion, twenty million, two thousand, one hundred".