20101000202000 has 80 divisors (see below), whose sum is σ = 50280226167600. Its totient is φ = 7763144883200.

The previous prime is 20101000201999. The next prime is 20101000202033. The reversal of 20101000202000 is 20200010102.

It can be written as a sum of positive squares in 8 ways, for example, as 1360274350864 + 18740725851136 = 1166308^2 + 4329056^2 .

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 (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, 173226485 + ... + 173342484.

It is an arithmetic number, because the mean of its divisors is an integer number (628502827095).

Almost surely, 2^{20101000202000} is an apocalyptic number.

20101000202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101000202000 is an abundant number, since it is smaller than the sum of its proper divisors (30179225965600).

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

20101000202000 is a wasteful number, since it uses less digits than its factorization.

20101000202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346569021 (or 346569005 counting only the distinct ones).

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

Adding to 20101000202000 its reverse (20200010102), we get a palindrome (20121200212102).

The spelling of 20101000202000 in words is "twenty trillion, one hundred one billion, two hundred two thousand".