10211100111201 has 16 divisors (see below), whose sum is σ = 14999563804608. Its totient is φ = 6127272792000.

The previous prime is 10211100111193. The next prime is 10211100111209.

10211100111201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10211100111193) and next prime (10211100111209).

It is not a de Polignac number, because 10211100111201 - 2³ = 10211100111193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211100111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531814866 + ... + 1531821531.

It is an arithmetic number, because the mean of its divisors is an integer number (937472737788).

Almost surely, 2^{10211100111201} is an apocalyptic number.

10211100111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211100111201 is a deficient number, since it is larger than the sum of its proper divisors (4788463693407).

10211100111201 is a wasteful number, since it uses less digits than its factorization.

10211100111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063636512.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 10211100 and 111201, that added together give a palindrome (10322301).

The spelling of 10211100111201 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, two hundred one".