100210301200 has 240 divisors, whose sum is σ = 262393915536. Its totient is φ = 36634624000.

The previous prime is 100210301189. The next prime is 100210301221. The reversal of 100210301200 is 2103012001.

It can be written as a sum of positive squares in 24 ways, for example, as 1279922176 + 98930379024 = 35776^2 + 314532^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 36399024 + ... + 36401776.

Almost surely, 2^100210301200 is an apocalyptic number.

100210301200 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 100210301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131196957768).

100210301200 is an abundant number, since it is smaller than the sum of its proper divisors (162183614336).

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

100210301200 is a wasteful number, since it uses less digits than its factorization.

100210301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100210301200 its reverse (2103012001), we get a palindrome (102313313201).

The spelling of 100210301200 in words is "one hundred billion, two hundred ten million, three hundred one thousand, two hundred".