112100210100 has 108 divisors (see below), whose sum is σ = 352830538060. Its totient is φ = 29769292800.

The previous prime is 112100210029. The next prime is 112100210107. The reversal of 112100210100 is 1012001211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3045715344 + 109054494756 = 55188^2 + 330234^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41515 + ... + 475314.

Almost surely, 2^112100210100 is an apocalyptic number.

112100210100 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 112100210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176415269030).

112100210100 is an abundant number, since it is smaller than the sum of its proper divisors (240730327960).

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

112100210100 is a wasteful number, since it uses less digits than its factorization.

112100210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517090 (or 517080 counting only the distinct ones).

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

Adding to 112100210100 its reverse (1012001211), we get a palindrome (113112211311).

The spelling of 112100210100 in words is "one hundred twelve billion, one hundred million, two hundred ten thousand, one hundred".