112202100 has 54 divisors (see below), whose sum is σ = 351694070. Its totient is φ = 29920320.

The previous prime is 112202063. The next prime is 112202137. The reversal of 112202100 is 1202211.

It is an interprime number because it is at equal distance from previous prime (112202063) and next prime (112202137).

It can be written as a sum of positive squares in 3 ways, for example, as 6441444 + 105760656 = 2538^2 + 10284^2 .

It is a super-2 number, since 2×112202100² = 25178622488820000, which 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61435 + ... + 63234.

Almost surely, 2^112202100 is an apocalyptic number.

112202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202100 is an abundant number, since it is smaller than the sum of its proper divisors (239491970).

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

112202100 is a wasteful number, since it uses less digits than its factorization.

112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124689 (or 124679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112202100 is about 10592.5492682357. The cubic root of 112202100 is about 482.3182129935.

Adding to 112202100 its reverse (1202211), we get a palindrome (113404311).

The spelling of 112202100 in words is "one hundred twelve million, two hundred two thousand, one hundred".