20100002201120 has 24 divisors (see below), whose sum is σ = 47486255200524. Its totient is φ = 8040000880384.

The previous prime is 20100002201099. The next prime is 20100002201141. The reversal of 20100002201120 is 2110220000102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20100002201099) and next prime (20100002201141).

It can be written as a sum of positive squares in 2 ways, for example, as 19931117367184 + 168884833936 = 4464428^2 + 410956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62812506719 + ... + 62812507038.

Almost surely, 2^{20100002201120} is an apocalyptic number.

20100002201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100002201120 is an abundant number, since it is smaller than the sum of its proper divisors (27386252999404).

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

20100002201120 is a wasteful number, since it uses less digits than its factorization.

20100002201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125625013772 (or 125625013764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20100002201120 its reverse (2110220000102), we get a palindrome (22210222201222).

The spelling of 20100002201120 in words is "twenty trillion, one hundred billion, two million, two hundred one thousand, one hundred twenty".