20101020102120 has 128 divisors (see below), whose sum is σ = 60402557952000. Its totient is φ = 5351429986560.

The previous prime is 20101020102101. The next prime is 20101020102197. The reversal of 20101020102120 is 2120102010102.

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 = 20101020102096 and 20101020102105.

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, 907115601 + ... + 907137759.

It is an arithmetic number, because the mean of its divisors is an integer number (471894984000).

Almost surely, 2^{20101020102120} is an apocalyptic number.

20101020102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101020102120 is an abundant number, since it is smaller than the sum of its proper divisors (40301537849880).

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

20101020102120 is a wasteful number, since it uses less digits than its factorization.

20101020102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34303 (or 34299 counting only the distinct ones).

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

Adding to 20101020102120 its reverse (2120102010102), we get a palindrome (22221122112222).

The spelling of 20101020102120 in words is "twenty trillion, one hundred one billion, twenty million, one hundred two thousand, one hundred twenty".