112121201100 has 144 divisors (see below), whose sum is σ = 327040595840. Its totient is φ = 29656972800.

The previous prime is 112121201069. The next prime is 112121201111. The reversal of 112121201100 is 1102121211.

It is a super-2 number, since 2×112121201100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 19810071 + ... + 19815729.

Almost surely, 2^112121201100 is an apocalyptic number.

112121201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163520297920).

112121201100 is an abundant number, since it is smaller than the sum of its proper divisors (214919394740).

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

112121201100 is a wasteful number, since it uses less digits than its factorization.

112121201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112121201100 its reverse (1102121211), we get a palindrome (113223322311).

The spelling of 112121201100 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred one thousand, one hundred".