11101021122400 has 144 divisors (see below), whose sum is σ = 31120040064960. Its totient is φ = 3824275161600.

The previous prime is 11101021122377. The next prime is 11101021122481. The reversal of 11101021122400 is 422112010111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33029634 + ... + 33364033.

It is an arithmetic number, because the mean of its divisors is an integer number (216111389340).

Almost surely, 2^{11101021122400} is an apocalyptic number.

11101021122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101021122400 is an abundant number, since it is smaller than the sum of its proper divisors (20019018942560).

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

11101021122400 is a wasteful number, since it uses less digits than its factorization.

11101021122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66393717 (or 66393704 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101021122400 its reverse (422112010111), we get a palindrome (11523133132511).

The spelling of 11101021122400 in words is "eleven trillion, one hundred one billion, twenty-one million, one hundred twenty-two thousand, four hundred".