10102200300 has 216 divisors, whose sum is σ = 33288702720. Its totient is φ = 2557526400.

The previous prime is 10102200293. The next prime is 10102200337. The reversal of 10102200300 is 300220101.

It is a happy number.

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

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, 2875545 + ... + 2879055.

Almost surely, 2^10102200300 is an apocalyptic number.

10102200300 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 10102200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644351360).

10102200300 is an abundant number, since it is smaller than the sum of its proper divisors (23186502420).

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

10102200300 is a wasteful number, since it uses less digits than its factorization.

10102200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3683 counting only the distinct ones).

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

Adding to 10102200300 its reverse (300220101), we get a palindrome (10402420401).

The spelling of 10102200300 in words is "ten billion, one hundred two million, two hundred thousand, three hundred".