11202123202120 has 32 divisors (see below), whose sum is σ = 25213044051000. Its totient is φ = 4479379619328.

The previous prime is 11202123202099. The next prime is 11202123202147. The reversal of 11202123202120 is 2120232120211.

It can be written as a sum of positive squares in 4 ways, for example, as 3620944682884 + 7581178519236 = 1902878^2 + 2753394^2 .

It is a super-3 number, since 3×11202123202120³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45803439 + ... + 46047358.

Almost surely, 2^{11202123202120} is an apocalyptic number.

11202123202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202123202120 is an abundant number, since it is smaller than the sum of its proper divisors (14010920848880).

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

11202123202120 is a wasteful number, since it uses less digits than its factorization.

11202123202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91853857 (or 91853853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11202123202120 its reverse (2120232120211), we get a palindrome (13322355322331).

The spelling of 11202123202120 in words is "eleven trillion, two hundred two billion, one hundred twenty-three million, two hundred two thousand, one hundred twenty".