101102112 has 72 divisors (see below), whose sum is σ = 300029184. Its totient is φ = 32233344.

The previous prime is 101102107. The next prime is 101102137. The reversal of 101102112 is 211201101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 101102094 and 101102103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1008 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (4167072).

Almost surely, 2^101102112 is an apocalyptic number.

101102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150014592).

101102112 is an abundant number, since it is smaller than the sum of its proper divisors (198927072).

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

101102112 is a wasteful number, since it uses less digits than its factorization.

101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15291 counting only the distinct ones).

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

The square root of 101102112 is about 10054.9545995991. The cubic root of 101102112 is about 465.8578406772.

Adding to 101102112 its reverse (211201101), we get a palindrome (312303213).

The spelling of 101102112 in words is "one hundred one million, one hundred two thousand, one hundred twelve".