10000211021200 has 120 divisors (see below), whose sum is σ = 25012282850280. Its totient is φ = 3837550080000.

The previous prime is 10000211021189. The next prime is 10000211021221. The reversal of 10000211021200 is 212011200001.

It can be written as a sum of positive squares in 12 ways, for example, as 6175980463104 + 3824230558096 = 2485152^2 + 1955564^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924301 + ... + 4566700.

It is an arithmetic number, because the mean of its divisors is an integer number (208435690419).

Almost surely, 2^{10000211021200} is an apocalyptic number.

10000211021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000211021200 is an abundant number, since it is smaller than the sum of its proper divisors (15012071829080).

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

10000211021200 is a wasteful number, since it uses less digits than its factorization.

10000211021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491205 (or 5491194 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000211021200 its reverse (212011200001), we get a palindrome (10212222221201).

The spelling of 10000211021200 in words is "ten trillion, two hundred eleven million, twenty-one thousand, two hundred".