112010210100 has 180 divisors, whose sum is σ = 363889251264. Its totient is φ = 29803878720.

The previous prime is 112010210093. The next prime is 112010210129. The reversal of 112010210100 is 1012010211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×112010210100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3735367 + ... + 3765233.

Almost surely, 2^112010210100 is an apocalyptic number.

112010210100 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 112010210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181944625632).

112010210100 is an abundant number, since it is smaller than the sum of its proper divisors (251879041164).

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

112010210100 is a wasteful number, since it uses less digits than its factorization.

112010210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30356 (or 30340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112010210100 its reverse (1012010211), we get a palindrome (113022220311).

The spelling of 112010210100 in words is "one hundred twelve billion, ten million, two hundred ten thousand, one hundred".