2120102201120 has 48 divisors (see below), whose sum is σ = 5026823654328. Its totient is φ = 844979343360.

The previous prime is 2120102201083. The next prime is 2120102201123. The reversal of 2120102201120 is 211022010212.

It can be written as a sum of positive squares in 4 ways, for example, as 648082961296 + 1472019239824 = 805036^2 + 1213268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120102201095 and 2120102201104.

It is not an unprimeable number, because it can be changed into a prime (2120102201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23873801 + ... + 23962440.

Almost surely, 2^{2120102201120} is an apocalyptic number.

2120102201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120102201120 is an abundant number, since it is smaller than the sum of its proper divisors (2906721453208).

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

2120102201120 is a wasteful number, since it uses less digits than its factorization.

2120102201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47836533 (or 47836525 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120102201120 its reverse (211022010212), we get a palindrome (2331124211332).

The spelling of 2120102201120 in words is "two trillion, one hundred twenty billion, one hundred two million, two hundred one thousand, one hundred twenty".