112101120110100 has 108 divisors (see below), whose sum is σ = 356512443916832. Its totient is φ = 27176029108800.

The previous prime is 112101120110047. The next prime is 112101120110129. The reversal of 112101120110100 is 1011021101211.

112101120110100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112101120110100² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1544056264 + ... + 1544128863.

Almost surely, 2^{112101120110100} is an apocalyptic number.

112101120110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101120110100 is an abundant number, since it is smaller than the sum of its proper divisors (244411323806732).

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

112101120110100 is a wasteful number, since it uses less digits than its factorization.

112101120110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088185166 (or 3088185148 counting only the distinct ones).

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

Adding to 112101120110100 its reverse (1011021101211), we get a palindrome (113112141211311).

The spelling of 112101120110100 in words is "one hundred twelve trillion, one hundred one billion, one hundred twenty million, one hundred ten thousand, one hundred".