101100002112 has 42 divisors (see below), whose sum is σ = 289784903538. Its totient is φ = 33700000512.

The previous prime is 101100002083. The next prime is 101100002119. The reversal of 101100002112 is 211200001101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98334925056 + 2765077056 = 313584^2 + 52584^2 .

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 = 101100002094 and 101100002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100002119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87759843 + ... + 87760994.

Almost surely, 2^101100002112 is an apocalyptic number.

101100002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100002112 is an abundant number, since it is smaller than the sum of its proper divisors (188684901426).

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

101100002112 is a wasteful number, since it uses less digits than its factorization.

101100002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175520855 (or 175520842 counting only the distinct ones).

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

Adding to 101100002112 its reverse (211200001101), we get a palindrome (312300003213).

The spelling of 101100002112 in words is "one hundred one billion, one hundred million, two thousand, one hundred twelve".