102001001112 has 32 divisors (see below), whose sum is σ = 283336114800. Its totient is φ = 34000333632.

The previous prime is 102001001111. The next prime is 102001001131. The reversal of 102001001112 is 211100100201.

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 = 102001001094 and 102001001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236113213 + ... + 236113644.

Almost surely, 2^102001001112 is an apocalyptic number.

102001001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102001001112 is an abundant number, since it is smaller than the sum of its proper divisors (181335113688).

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

102001001112 is a wasteful number, since it uses less digits than its factorization.

102001001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472226872 (or 472226862 counting only the distinct ones).

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

Adding to 102001001112 its reverse (211100100201), we get a palindrome (313101101313).

The spelling of 102001001112 in words is "one hundred two billion, one million, one thousand, one hundred twelve".