11121112022100 has 144 divisors (see below), whose sum is σ = 33635500523520. Its totient is φ = 2833635542400.

The previous prime is 11121112022089. The next prime is 11121112022107. The reversal of 11121112022100 is 122021112111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11121112022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121112022107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6833772 + ... + 8303171.

Almost surely, 2^{11121112022100} is an apocalyptic number.

11121112022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121112022100 is an abundant number, since it is smaller than the sum of its proper divisors (22514388501420).

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

11121112022100 is a wasteful number, since it uses less digits than its factorization.

11121112022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15137070 (or 15137063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11121112022100 its reverse (122021112111), we get a palindrome (11243133134211).

The spelling of 11121112022100 in words is "eleven trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand, one hundred".