112312211122100 has 144 divisors (see below), whose sum is σ = 266243414539200. Its totient is φ = 40784020992000.

The previous prime is 112312211122081. The next prime is 112312211122121. The reversal of 112312211122100 is 1221112213211.

It is a super-2 number, since 2×112312211122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8180648036 + ... + 8180661764.

Almost surely, 2^{112312211122100} is an apocalyptic number.

112312211122100 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 112312211122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133121707269600).

112312211122100 is an abundant number, since it is smaller than the sum of its proper divisors (153931203417100).

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

112312211122100 is a wasteful number, since it uses less digits than its factorization.

112312211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23554 (or 23547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 112312211122100 its reverse (1221112213211), we get a palindrome (113533323335311).

The spelling of 112312211122100 in words is "one hundred twelve trillion, three hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".