10010211011200 has 48 divisors (see below), whose sum is σ = 24728349396510. Its totient is φ = 4004084403200.

The previous prime is 10010211011159. The next prime is 10010211011201. The reversal of 10010211011200 is 211011201001.

It can be written as a sum of positive squares in 3 ways, for example, as 8971654353984 + 1038556657216 = 2995272^2 + 1019096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10010211011201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1564092271 + ... + 1564098670.

Almost surely, 2^{10010211011200} is an apocalyptic number.

10010211011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010211011200 is an abundant number, since it is smaller than the sum of its proper divisors (14718138385310).

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

10010211011200 is an equidigital number, since it uses as much as digits as its factorization.

10010211011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128190965 (or 3128190948 counting only the distinct ones).

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

Adding to 10010211011200 its reverse (211011201001), we get a palindrome (10221222212201).

The spelling of 10010211011200 in words is "ten trillion, ten billion, two hundred eleven million, eleven thousand, two hundred".