101021000020 has 48 divisors (see below), whose sum is σ = 213801169680. Its totient is φ = 40093507584.

The previous prime is 101020999999. The next prime is 101021000023. The reversal of 101021000020 is 20000120101.

It can be written as a sum of positive squares in 8 ways, for example, as 12233687236 + 88787312784 = 110606^2 + 297972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101020999967 and 101021000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2203572 + ... + 2248948.

It is an arithmetic number, because the mean of its divisors is an integer number (4454191035).

Almost surely, 2^101021000020 is an apocalyptic number.

101021000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021000020 is an abundant number, since it is smaller than the sum of its proper divisors (112780169660).

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

101021000020 is a wasteful number, since it uses less digits than its factorization.

101021000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46252 (or 46250 counting only the distinct ones).

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

Adding to 101021000020 its reverse (20000120101), we get a palindrome (121021120121).

The spelling of 101021000020 in words is "one hundred one billion, twenty-one million, twenty", and thus it is an aban number.