102001100112 has 120 divisors (see below), whose sum is σ = 291584724288. Its totient is φ = 33278169600.

The previous prime is 102001100029. The next prime is 102001100137. The reversal of 102001100112 is 211001100201.

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 = 102001100094 and 102001100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1340037 + ... + 1414107.

Almost surely, 2^102001100112 is an apocalyptic number.

102001100112 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 102001100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145792362144).

102001100112 is an abundant number, since it is smaller than the sum of its proper divisors (189583624176).

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

102001100112 is a wasteful number, since it uses less digits than its factorization.

102001100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74289 (or 74280 counting only the distinct ones).

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

Adding to 102001100112 its reverse (211001100201), we get a palindrome (313002200313).

The spelling of 102001100112 in words is "one hundred two billion, one million, one hundred thousand, one hundred twelve".