2102102101120 has 96 divisors (see below), whose sum is σ = 5845801242780. Its totient is φ = 720720709632.

The previous prime is 2102102101117. The next prime is 2102102101123. The reversal of 2102102101120 is 211012012012.

It is an interprime number because it is at equal distance from previous prime (2102102101117) and next prime (2102102101123).

It can be written as a sum of positive squares in 2 ways, for example, as 2025293304384 + 76808796736 = 1423128^2 + 277144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2102102101120.

It is not an unprimeable number, because it can be changed into a prime (2102102101123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33484299 + ... + 33547018.

Almost surely, 2^{2102102101120} is an apocalyptic number.

2102102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102102101120 is an abundant number, since it is smaller than the sum of its proper divisors (3743699141660).

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

2102102101120 is an equidigital number, since it uses as much as digits as its factorization.

2102102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67031350 (or 67031331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102102101120 its reverse (211012012012), we get a palindrome (2313114113132).

The spelling of 2102102101120 in words is "two trillion, one hundred two billion, one hundred two million, one hundred one thousand, one hundred twenty".