11202022122100 has 36 divisors (see below), whose sum is σ = 25146608287500. Its totient is φ = 4326298197760.

The previous prime is 11202022122097. The next prime is 11202022122131. The reversal of 11202022122100 is 122122020211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 808323268624 + 10393698853476 = 899068^2 + 3223926^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1931380225 + ... + 1931386024.

It is an arithmetic number, because the mean of its divisors is an integer number (698516896875).

Almost surely, 2^{11202022122100} is an apocalyptic number.

11202022122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202022122100 is an abundant number, since it is smaller than the sum of its proper divisors (13944586165400).

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

11202022122100 is a wasteful number, since it uses less digits than its factorization.

11202022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862766292 (or 3862766285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11202022122100 its reverse (122122020211), we get a palindrome (11324144142311).

The spelling of 11202022122100 in words is "eleven trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, one hundred".