102204114100 has 216 divisors, whose sum is σ = 257463208800. Its totient is φ = 35091936000.

The previous prime is 102204114097. The next prime is 102204114143. The reversal of 102204114100 is 1411402201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96327570 + ... + 96328630.

It is an arithmetic number, because the mean of its divisors is an integer number (1191959300).

Almost surely, 2^102204114100 is an apocalyptic number.

102204114100 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 102204114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128731604400).

102204114100 is an abundant number, since it is smaller than the sum of its proper divisors (155259094700).

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

102204114100 is a wasteful number, since it uses less digits than its factorization.

102204114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102204114100 its reverse (1411402201), we get a palindrome (103615516301).

The spelling of 102204114100 in words is "one hundred two billion, two hundred four million, one hundred fourteen thousand, one hundred".