112121110201100 has 216 divisors, whose sum is σ = 328467209753088. Its totient is φ = 32258620742400.

The previous prime is 112121110201057. The next prime is 112121110201127. The reversal of 112121110201100 is 1102011121211.

It is a super-2 number, since 2×112121110201100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41779124 + ... + 44381723.

Almost surely, 2^{112121110201100} is an apocalyptic number.

112121110201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121110201100 is an abundant number, since it is smaller than the sum of its proper divisors (216346099551988).

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

112121110201100 is a wasteful number, since it uses less digits than its factorization.

112121110201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86160905 (or 86160885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112121110201100 its reverse (1102011121211), we get a palindrome (113223121322311).

It can be divided in two parts, 1121211 and 10201100, that added together give a palindrome (11322311).

The spelling of 112121110201100 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred ten million, two hundred one thousand, one hundred".