1126100016211 has 24 divisors (see below), whose sum is σ = 1166607100224. Its totient is φ = 1086400694400.

The previous prime is 1126100016169. The next prime is 1126100016241.

It is a happy number.

1126100016211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1126100016211 - 2¹⁵ = 1126099983443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1126100016241) 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 23 ways as a sum of consecutive naturals, for example, 271151311 + ... + 271155463.

It is an arithmetic number, because the mean of its divisors is an integer number (48608629176).

Almost surely, 2^{1126100016211} is an apocalyptic number.

1126100016211 is a deficient number, since it is larger than the sum of its proper divisors (40507084013).

1126100016211 is an equidigital number, since it uses as much as digits as its factorization.

1126100016211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 11261000 and 16211, that added together give a palindrome (11277211).

The spelling of 1126100016211 in words is "one trillion, one hundred twenty-six billion, one hundred million, sixteen thousand, two hundred eleven".