110010001221211 has 96 divisors (see below), whose sum is σ = 144656741376000. Its totient is φ = 82764652481280.

The previous prime is 110010001221167. The next prime is 110010001221269. The reversal of 110010001221211 is 112122100010011.

It is a happy number.

It is not a de Polignac number, because 110010001221211 - 2²¹ = 110009999124059 is a prime.

It is a super-2 number, since 2×110010001221211² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 110010001221191 and 110010001221200.

It is not an unprimeable number, because it can be changed into a prime (110010001221271) 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 95 ways as a sum of consecutive naturals, for example, 12585512301 + ... + 12585521041.

It is an arithmetic number, because the mean of its divisors is an integer number (1506841056000).

Almost surely, 2^{110010001221211} is an apocalyptic number.

110010001221211 is a deficient number, since it is larger than the sum of its proper divisors (34646740154789).

110010001221211 is a wasteful number, since it uses less digits than its factorization.

110010001221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110010001221211 its reverse (112122100010011), we get a palindrome (222132101231222).

The spelling of 110010001221211 in words is "one hundred ten trillion, ten billion, one million, two hundred twenty-one thousand, two hundred eleven".