112100010100 has 72 divisors (see below), whose sum is σ = 262028532920. Its totient is φ = 41381383680.

The previous prime is 112100010053. The next prime is 112100010107. The reversal of 112100010100 is 1010001211.

It can be written as a sum of positive squares in 12 ways, for example, as 55610129124 + 56489880976 = 235818^2 + 237676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8715274 + ... + 8728126.

Almost surely, 2^112100010100 is an apocalyptic number.

112100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100010100 is an abundant number, since it is smaller than the sum of its proper divisors (149928522820).

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

112100010100 is a wasteful number, since it uses less digits than its factorization.

112100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19589 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 112100010100 its reverse (1010001211), we get a palindrome (113110011311).

The spelling of 112100010100 in words is "one hundred twelve billion, one hundred million, ten thousand, one hundred".