102200010100 has 288 divisors, whose sum is σ = 263503134720. Its totient is φ = 34112010240.

The previous prime is 102200010097. The next prime is 102200010127. The reversal of 102200010100 is 1010002201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34914837 + ... + 34917763.

It is an arithmetic number, because the mean of its divisors is an integer number (914941440).

Almost surely, 2^102200010100 is an apocalyptic number.

102200010100 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 102200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131751567360).

102200010100 is an abundant number, since it is smaller than the sum of its proper divisors (161303124620).

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

102200010100 is a wasteful number, since it uses less digits than its factorization.

102200010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3040 counting only the distinct ones).

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

Adding to 102200010100 its reverse (1010002201), we get a palindrome (103210012301).

The spelling of 102200010100 in words is "one hundred two billion, two hundred million, ten thousand, one hundred".