112120101102100 has 432 divisors, whose sum is σ = 308490119118720. Its totient is φ = 34619809536000.

The previous prime is 112120101102043. The next prime is 112120101102101. The reversal of 112120101102100 is 1201101021211.

It is a happy number.

It is a super-2 number, since 2×112120101102100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120101102101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1122262150 + ... + 1122362050.

It is an arithmetic number, because the mean of its divisors is an integer number (714097497960).

Almost surely, 2^{112120101102100} is an apocalyptic number.

112120101102100 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 112120101102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154245059559360).

112120101102100 is an abundant number, since it is smaller than the sum of its proper divisors (196370018016620).

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

112120101102100 is a wasteful number, since it uses less digits than its factorization.

112120101102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100180 (or 100160 counting only the distinct ones).

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

Adding to 112120101102100 its reverse (1201101021211), we get a palindrome (113321202123311).

The spelling of 112120101102100 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred one million, one hundred two thousand, one hundred".