102202100 has 144 divisors (see below), whose sum is σ = 298064256. Its totient is φ = 29376000.

The previous prime is 102202091. The next prime is 102202123. The reversal of 102202100 is 1202201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99590 + ... + 100610.

Almost surely, 2^102202100 is an apocalyptic number.

102202100 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 102202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149032128).

102202100 is an abundant number, since it is smaller than the sum of its proper divisors (195862156).

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

102202100 is a wasteful number, since it uses less digits than its factorization.

102202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

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

The square root of 102202100 is about 10109.5054280613. The cubic root of 102202100 is about 467.5412567134.

Adding to 102202100 its reverse (1202201), we get a palindrome (103404301).

It can be divided in two parts, 102 and 202100, that added together give a palindrome (202202).

The spelling of 102202100 in words is "one hundred two million, two hundred two thousand, one hundred".