10011001211200 has 126 divisors (see below), whose sum is σ = 27076294248878. Its totient is φ = 3640364006400.

The previous prime is 10011001211161. The next prime is 10011001211207. The reversal of 10011001211200 is 211210011001.

It can be written as a sum of positive squares in 3 ways, for example, as 82653950016 + 9928347261184 = 287496^2 + 3150928^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001211207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25661259 + ... + 26048458.

Almost surely, 2^{10011001211200} is an apocalyptic number.

10011001211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011001211200 is an abundant number, since it is smaller than the sum of its proper divisors (17065293037678).

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

10011001211200 is a wasteful number, since it uses less digits than its factorization.

10011001211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51709761 (or 51709735 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011001211200 its reverse (211210011001), we get a palindrome (10222211222201).

It can be divided in two parts, 10011001 and 211200, that added together give a palindrome (10222201).

The spelling of 10011001211200 in words is "ten trillion, eleven billion, one million, two hundred eleven thousand, two hundred".