102002112100 has 72 divisors (see below), whose sum is σ = 253359770048. Its totient is φ = 34917609600.

The previous prime is 102002112077. The next prime is 102002112139. The reversal of 102002112100 is 1211200201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 336790 + ... + 563410.

Almost surely, 2^102002112100 is an apocalyptic number.

102002112100 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 102002112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126679885024).

102002112100 is an abundant number, since it is smaller than the sum of its proper divisors (151357657948).

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

102002112100 is a wasteful number, since it uses less digits than its factorization.

102002112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227285 (or 227278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102002112100 its reverse (1211200201), we get a palindrome (103213312301).

The spelling of 102002112100 in words is "one hundred two billion, two million, one hundred twelve thousand, one hundred".