102200030100 has 432 divisors, whose sum is σ = 388703246400. Its totient is φ = 22962320640.

The previous prime is 102200030071. The next prime is 102200030111. The reversal of 102200030100 is 1030002201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7799154 + ... + 7812246.

Almost surely, 2^102200030100 is an apocalyptic number.

102200030100 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 102200030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194351623200).

102200030100 is an abundant number, since it is smaller than the sum of its proper divisors (286503216300).

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

102200030100 is a wasteful number, since it uses less digits than its factorization.

102200030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13189 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102200030100 its reverse (1030002201), we get a palindrome (103230032301).

The spelling of 102200030100 in words is "one hundred two billion, two hundred million, thirty thousand, one hundred".