102112001100 has 216 divisors, whose sum is σ = 346775148720. Its totient is φ = 25031946240.

The previous prime is 102112001099. The next prime is 102112001111. The reversal of 102112001100 is 1100211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 580296 + ... + 735504.

Almost surely, 2^102112001100 is an apocalyptic number.

102112001100 is a gapful number since it is divisible by the number (10) 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 102112001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173387574360).

102112001100 is an abundant number, since it is smaller than the sum of its proper divisors (244663147620).

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

102112001100 is a wasteful number, since it uses less digits than its factorization.

102112001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155289 (or 155279 counting only the distinct ones).

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

Adding to 102112001100 its reverse (1100211201), we get a palindrome (103212212301).

The spelling of 102112001100 in words is "one hundred two billion, one hundred twelve million, one thousand, one hundred".