112121112100 has 36 divisors (see below), whose sum is σ = 243460220500. Its totient is φ = 44819429760.

The previous prime is 112121112083. The next prime is 112121112101. The reversal of 112121112100 is 1211121211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3818251264 + 108302860836 = 61792^2 + 329094^2 .

It is a super-2 number, since 2×112121112100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121112101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207015 + ... + 516814.

Almost surely, 2^112121112100 is an apocalyptic number.

112121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121112100 is an abundant number, since it is smaller than the sum of its proper divisors (131339108400).

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

112121112100 is a wasteful number, since it uses less digits than its factorization.

112121112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725392 (or 725385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112121112100 its reverse (1211121211), we get a palindrome (113332233311).

It can be divided in two parts, 1121211 and 12100, that added together give a palindrome (1133311).

The spelling of 112121112100 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".