101020102000020 has 192 divisors, whose sum is σ = 362361193367040. Its totient is φ = 22885969913856.

The previous prime is 101020101999997. The next prime is 101020102000031. The reversal of 101020102000020 is 20000201020101.

It is a super-2 number, since 2×101020102000020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101020101999966 and 101020102000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117824607 + ... + 118678886.

It is an arithmetic number, because the mean of its divisors is an integer number (1887297882120).

Almost surely, 2^{101020102000020} is an apocalyptic number.

101020102000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020102000020 is an abundant number, since it is smaller than the sum of its proper divisors (261341091367020).

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

101020102000020 is a wasteful number, since it uses less digits than its factorization.

101020102000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236503631 (or 236503623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020102000020 its reverse (20000201020101), we get a palindrome (121020303020121).

The spelling of 101020102000020 in words is "one hundred one trillion, twenty billion, one hundred two million, twenty", and thus it is an aban number.