2120100102120 has 1024 divisors, whose sum is σ = 8859218780160. Its totient is φ = 391661568000.

The previous prime is 2120100102097. The next prime is 2120100102139. The reversal of 2120100102120 is 212010010212.

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 = 2120100102096 and 2120100102105.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 448886079 + ... + 448890801.

It is an arithmetic number, because the mean of its divisors is an integer number (8651580840).

Almost surely, 2^{2120100102120} is an apocalyptic number.

2120100102120 is a gapful number since it is divisible by the number (20) 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 2120100102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429609390080).

2120100102120 is an abundant number, since it is smaller than the sum of its proper divisors (6739118678040).

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

2120100102120 is a wasteful number, since it uses less digits than its factorization.

2120100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4902 counting only the distinct ones).

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

Adding to 2120100102120 its reverse (212010010212), we get a palindrome (2332110112332).

The spelling of 2120100102120 in words is "two trillion, one hundred twenty billion, one hundred million, one hundred two thousand, one hundred twenty".