101021000020000 has 240 divisors, whose sum is σ = 250468070280120. Its totient is φ = 40093507584000.

The previous prime is 101021000019931. The next prime is 101021000020021. The reversal of 101021000020000 is 20000120101.

It can be written as a sum of positive squares in 20 ways, for example, as 67885273519504 + 33135726500496 = 8239252^2 + 5756364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2226237312 + ... + 2226282688.

Almost surely, 2^{101021000020000} is an apocalyptic number.

101021000020000 is a gapful number since it is divisible by the number (10) 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 101021000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125234035140060).

101021000020000 is an abundant number, since it is smaller than the sum of its proper divisors (149447070260120).

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

101021000020000 is an equidigital number, since it uses as much as digits as its factorization.

101021000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46273 (or 46250 counting only the distinct ones).

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

Adding to 101021000020000 its reverse (20000120101), we get a palindrome (101041000140101).

The spelling of 101021000020000 in words is "one hundred one trillion, twenty-one billion, twenty thousand".