101200100112 has 50 divisors (see below), whose sum is σ = 292902453998. Its totient is φ = 33733366272.

The previous prime is 101200100051. The next prime is 101200100137. The reversal of 101200100112 is 211001002101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100453499136 + 746600976 = 316944^2 + 27324^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101200100094 and 101200100103.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39041953 + ... + 39044544.

Almost surely, 2^101200100112 is an apocalyptic number.

101200100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200100112 is an abundant number, since it is smaller than the sum of its proper divisors (191702353886).

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

101200100112 is an equidigital number, since it uses as much as digits as its factorization.

101200100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78086517 (or 78086502 counting only the distinct ones).

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

Adding to 101200100112 its reverse (211001002101), we get a palindrome (312201102213).

The spelling of 101200100112 in words is "one hundred one billion, two hundred million, one hundred thousand, one hundred twelve".