100210201011200 has 264 divisors, whose sum is σ = 293674833220800. Its totient is φ = 33173030338560.

The previous prime is 100210201011191. The next prime is 100210201011209. The reversal of 100210201011200 is 2110102012001.

It is an interprime number because it is at equal distance from previous prime (100210201011191) and next prime (100210201011209).

It is not an unprimeable number, because it can be changed into a prime (100210201011209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4444730 + ... + 14838329.

Almost surely, 2^{100210201011200} is an apocalyptic number.

100210201011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210201011200 is an abundant number, since it is smaller than the sum of its proper divisors (193464632209600).

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

100210201011200 is a wasteful number, since it uses less digits than its factorization.

100210201011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19283125 (or 19283102 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100210201011200 its reverse (2110102012001), we get a palindrome (102320303023201).

The spelling of 100210201011200 in words is "one hundred trillion, two hundred ten billion, two hundred one million, eleven thousand, two hundred".