110122121001211 has 16 divisors (see below), whose sum is σ = 123288082414848. Its totient is φ = 97513836775200.

The previous prime is 110122121001187. The next prime is 110122121001227. The reversal of 110122121001211 is 112100121221011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110122121001211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110122121001311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796612561 + ... + 796750786.

It is an arithmetic number, because the mean of its divisors is an integer number (7705505150928).

Almost surely, 2^{110122121001211} is an apocalyptic number.

110122121001211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110122121001211 is a deficient number, since it is larger than the sum of its proper divisors (13165961413637).

110122121001211 is a wasteful number, since it uses less digits than its factorization.

110122121001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593363522.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110122121001211 its reverse (112100121221011), we get a palindrome (222222242222222).

The spelling of 110122121001211 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one thousand, two hundred eleven".