102011112 has 48 divisors (see below), whose sum is σ = 315750240. Its totient is φ = 29145888.

The previous prime is 102011087. The next prime is 102011113. The reversal of 102011112 is 211110201.

It is a happy number.

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 = 102011094 and 102011103.

It is not an unprimeable number, because it can be changed into a prime (102011113) 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, 100698 + ... + 101705.

It is an arithmetic number, because the mean of its divisors is an integer number (6578130).

Almost surely, 2^102011112 is an apocalyptic number.

102011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011112 is an abundant number, since it is smaller than the sum of its proper divisors (213739128).

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

102011112 is a wasteful number, since it uses less digits than its factorization.

102011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202422 (or 202415 counting only the distinct ones).

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

The square root of 102011112 is about 10100.0550493549. The cubic root of 102011112 is about 467.2498391857.

Adding to 102011112 its reverse (211110201), we get a palindrome (313121313).

The spelling of 102011112 in words is "one hundred two million, eleven thousand, one hundred twelve".