102102200 has 96 divisors (see below), whose sum is σ = 253369200. Its totient is φ = 38154240.

The previous prime is 102102199. The next prime is 102102229. The reversal of 102102200 is 2201201.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 368462 + ... + 368738.

Almost surely, 2^102102200 is an apocalyptic number.

102102200 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 102102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126684600).

102102200 is an abundant number, since it is smaller than the sum of its proper divisors (151267000).

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

102102200 is a wasteful number, since it uses less digits than its factorization.

102102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

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

The square root of 102102200 is about 10104.5633255475. The cubic root of 102102200 is about 467.3888704179.

Adding to 102102200 its reverse (2201201), we get a palindrome (104303401).

Subtracting from 102102200 its reverse (2201201), we obtain a palindrome (99900999).

The spelling of 102102200 in words is "one hundred two million, one hundred two thousand, two hundred".