112101121001100 has 2304 divisors, whose sum is σ = 443380741816320. Its totient is φ = 21162885120000.

The previous prime is 112101121001069. The next prime is 112101121001119. The reversal of 112101121001100 is 1100121101211.

It is a super-2 number, since 2×112101121001100² (a number of 29 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 767 ways as a sum of consecutive naturals, for example, 436191132172 + ... + 436191132428.

It is an arithmetic number, because the mean of its divisors is an integer number (192439558080).

Almost surely, 2^{112101121001100} is an apocalyptic number.

112101121001100 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 112101121001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221690370908160).

112101121001100 is an abundant number, since it is smaller than the sum of its proper divisors (331279620815220).

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

112101121001100 is a wasteful number, since it uses less digits than its factorization.

112101121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112101121001100 its reverse (1100121101211), we get a palindrome (113201242102311).

The spelling of 112101121001100 in words is "one hundred twelve trillion, one hundred one billion, one hundred twenty-one million, one thousand, one hundred".