102101200 has 30 divisors (see below), whose sum is σ = 245299094. Its totient is φ = 40840320.

The previous prime is 102101191. The next prime is 102101213. The reversal of 102101200 is 2101201.

It can be written as a sum of positive squares in 3 ways, for example, as 26132544 + 75968656 = 5112^2 + 8716^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127227 + ... + 128026.

Almost surely, 2^102101200 is an apocalyptic number.

102101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101200 is an abundant number, since it is smaller than the sum of its proper divisors (143197894).

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

102101200 is a wasteful number, since it uses less digits than its factorization.

102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255271 (or 255260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102101200 is about 10104.5138428328. The cubic root of 102101200 is about 467.3873445272.

Adding to 102101200 its reverse (2101201), we get a palindrome (104202401).

Subtracting from 102101200 its reverse (2101201), we obtain a palindrome (99999999).

The spelling of 102101200 in words is "one hundred two million, one hundred one thousand, two hundred".