112010201210100 has 864 divisors, whose sum is σ = 374761613721600. Its totient is φ = 25726513766400.

The previous prime is 112010201209997. The next prime is 112010201210101. The reversal of 112010201210100 is 1012102010211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010201210101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33346292221 + ... + 33346295579.

Almost surely, 2^{112010201210100} is an apocalyptic number.

112010201210100 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 112010201210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187380806860800).

112010201210100 is an abundant number, since it is smaller than the sum of its proper divisors (262751412511500).

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

112010201210100 is a wasteful number, since it uses less digits than its factorization.

112010201210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4089 counting only the distinct ones).

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

Adding to 112010201210100 its reverse (1012102010211), we get a palindrome (113022303220311).

The spelling of 112010201210100 in words is "one hundred twelve trillion, ten billion, two hundred one million, two hundred ten thousand, one hundred".