1102100112 has 60 divisors (see below), whose sum is σ = 3088651644. Its totient is φ = 366854400.

The previous prime is 1102100099. The next prime is 1102100113. The reversal of 1102100112 is 2110012011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 580617216 + 521482896 = 24096^2 + 22836^2 .

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 = 1102100094 and 1102100103.

It is not an unprimeable number, because it can be changed into a prime (1102100113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106362 + ... + 116262.

Almost surely, 2^1102100112 is an apocalyptic number.

1102100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102100112 is an abundant number, since it is smaller than the sum of its proper divisors (1986551532).

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

1102100112 is a wasteful number, since it uses less digits than its factorization.

1102100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10688 (or 10679 counting only the distinct ones).

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

The square root of 1102100112 is about 33197.8931861647. The cubic root of 1102100112 is about 1032.9366383868.

Adding to 1102100112 its reverse (2110012011), we get a palindrome (3212112123).

The spelling of 1102100112 in words is "one billion, one hundred two million, one hundred thousand, one hundred twelve".