20021100102120 has 128 divisors (see below), whose sum is σ = 64737418314240. Its totient is φ = 4924166860800.

The previous prime is 20021100102079. The next prime is 20021100102161. The reversal of 20021100102120 is 2120100112002.

It is an interprime number because it is at equal distance from previous prime (20021100102079) and next prime (20021100102161).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20021100102096 and 20021100102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3469504 + ... + 7216623.

It is an arithmetic number, because the mean of its divisors is an integer number (505761080580).

Almost surely, 2^{20021100102120} is an apocalyptic number.

20021100102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021100102120 is an abundant number, since it is smaller than the sum of its proper divisors (44716318212120).

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

20021100102120 is a wasteful number, since it uses less digits than its factorization.

20021100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687355 (or 10687351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021100102120 its reverse (2120100112002), we get a palindrome (22141200214122).

The spelling of 20021100102120 in words is "twenty trillion, twenty-one billion, one hundred million, one hundred two thousand, one hundred twenty".