110122121012211 has 72 divisors (see below), whose sum is σ = 201864809510208. Its totient is φ = 57203942796000.

The previous prime is 110122121012177. The next prime is 110122121012213. The reversal of 110122121012211 is 112210121221011.

It is a happy number.

110122121012211 is a `hidden beast` number, since 1 + 10 + 1 + 221 + 210 + 1 + 221 + 1 = 666.

It is not a de Polignac number, because 110122121012211 - 2⁶ = 110122121012147 is a prime.

It is a super-2 number, since 2×110122121012211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110122121012213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120679776 + ... + 121588866.

It is an arithmetic number, because the mean of its divisors is an integer number (2803677909864).

Almost surely, 2^{110122121012211} is an apocalyptic number.

110122121012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110122121012211 is a deficient number, since it is larger than the sum of its proper divisors (91742688497997).

110122121012211 is a wasteful number, since it uses less digits than its factorization.

110122121012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934093 (or 934083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110122121012211 its reverse (112210121221011), we get a palindrome (222332242233222).

The spelling of 110122121012211 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-one million, twelve thousand, two hundred eleven".