102001112100 has 108 divisors (see below), whose sum is σ = 320217408420. Its totient is φ = 27157708800.

The previous prime is 102001112099. The next prime is 102001112107. The reversal of 102001112100 is 1211100201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3846728484 + 98154383616 = 62022^2 + 313296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102001112107) 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 35 ways as a sum of consecutive naturals, for example, 488496 + ... + 665304.

Almost surely, 2^102001112100 is an apocalyptic number.

102001112100 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 102001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160108704210).

102001112100 is an abundant number, since it is smaller than the sum of its proper divisors (218216296320).

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

102001112100 is a wasteful number, since it uses less digits than its factorization.

102001112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177470 (or 177460 counting only the distinct ones).

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

Adding to 102001112100 its reverse (1211100201), we get a palindrome (103212212301).

The spelling of 102001112100 in words is "one hundred two billion, one million, one hundred twelve thousand, one hundred".