10000211011201 has 8 divisors (see below), whose sum is σ = 10099034776584. Its totient is φ = 9901568409600.

The previous prime is 10000211011171. The next prime is 10000211011229. The reversal of 10000211011201 is 10211011200001.

It can be written as a sum of positive squares in 4 ways, for example, as 1967011201 + 9998244000000 = 44351^2 + 3162000^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000211011201 - 2¹³ = 10000211003009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000211011801) 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 7 ways as a sum of consecutive naturals, for example, 45180000 + ... + 45400801.

It is an arithmetic number, because the mean of its divisors is an integer number (1262379347073).

Almost surely, 2^{10000211011201} is an apocalyptic number.

It is an amenable number.

10000211011201 is a deficient number, since it is larger than the sum of its proper divisors (98823765383).

10000211011201 is an equidigital number, since it uses as much as digits as its factorization.

10000211011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90581891.

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

Adding to 10000211011201 its reverse (10211011200001), we get a palindrome (20211222211202).

The spelling of 10000211011201 in words is "ten trillion, two hundred eleven million, eleven thousand, two hundred one".