20101021000000 has 196 divisors, whose sum is σ = 52792261828524. Its totient is φ = 7567436800000.

The previous prime is 20101020999979. The next prime is 20101021000013. The reversal of 20101021000000 is 12010102.

It can be written as a sum of positive squares in 14 ways, for example, as 18000469348416 + 2100551651584 = 4242696^2 + 1449328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16408794 + ... + 17591206.

Almost surely, 2^{20101021000000} is an apocalyptic number.

20101021000000 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 20101021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26396130914262).

20101021000000 is an abundant number, since it is smaller than the sum of its proper divisors (32691240828524).

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

20101021000000 is an frugal number, since it uses more digits than its factorization.

20101021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182472 (or 1182437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20101021000000 its reverse (12010102), we get a palindrome (20101033010102).

The spelling of 20101021000000 in words is "twenty trillion, one hundred one billion, twenty-one million", and thus it is an aban number.