112101310100 has 72 divisors (see below), whose sum is σ = 262044561408. Its totient is φ = 41379811200.

The previous prime is 112101310091. The next prime is 112101310109. The reversal of 112101310100 is 1013101211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112101310091) and next prime (112101310109).

It is a super-2 number, since 2×112101310100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101310109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5771405 + ... + 5790795.

Almost surely, 2^112101310100 is an apocalyptic number.

112101310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101310100 is an abundant number, since it is smaller than the sum of its proper divisors (149943251308).

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

112101310100 is a wasteful number, since it uses less digits than its factorization.

112101310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23858 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 112101310100 its reverse (1013101211), we get a palindrome (113114411311).

The spelling of 112101310100 in words is "one hundred twelve billion, one hundred one million, three hundred ten thousand, one hundred".