112211122010100 has 144 divisors (see below), whose sum is σ = 339090395784000. Its totient is φ = 28620775249920.

The previous prime is 112211122010087. The next prime is 112211122010153. The reversal of 112211122010100 is 1010221112211.

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 112211122010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85015525 + ... + 86325324.

Almost surely, 2^{112211122010100} is an apocalyptic number.

112211122010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211122010100 is an abundant number, since it is smaller than the sum of its proper divisors (226879273773900).

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

112211122010100 is a wasteful number, since it uses less digits than its factorization.

112211122010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171340962 (or 171340955 counting only the distinct ones).

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

Adding to 112211122010100 its reverse (1010221112211), we get a palindrome (113221343122311).

The spelling of 112211122010100 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred twenty-two million, ten thousand, one hundred".