10000100021200 has 60 divisors (see below), whose sum is σ = 24045584570028. Its totient is φ = 3996652825600.

The previous prime is 10000100021167. The next prime is 10000100021209. The reversal of 10000100021200 is 212000100001.

It can be written as a sum of positive squares in 6 ways, for example, as 47109834304 + 9952990186896 = 217048^2 + 3154836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100021209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10111957 + ... + 11056756.

Almost surely, 2^{10000100021200} is an apocalyptic number.

10000100021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100021200 is an abundant number, since it is smaller than the sum of its proper divisors (14045484548828).

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

10000100021200 is a wasteful number, since it uses less digits than its factorization.

10000100021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169912 (or 21169901 counting only the distinct ones).

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

Adding to 10000100021200 its reverse (212000100001), we get a palindrome (10212100121201).

The spelling of 10000100021200 in words is "ten trillion, one hundred million, twenty-one thousand, two hundred".