110110100121211 has 32 divisors (see below), whose sum is σ = 112957649280000. Its totient is φ = 107304355134720.

The previous prime is 110110100121173. The next prime is 110110100121253. The reversal of 110110100121211 is 112121001011011.

It is a cyclic number.

It is not a de Polignac number, because 110110100121211 - 2⁷ = 110110100121083 is a prime.

It is a super-2 number, since 2×110110100121211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110100121191 and 110110100121200.

It is not an unprimeable number, because it can be changed into a prime (110110100121311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6972957726 + ... + 6972973516.

It is an arithmetic number, because the mean of its divisors is an integer number (3529926540000).

Almost surely, 2^{110110100121211} is an apocalyptic number.

110110100121211 is a deficient number, since it is larger than the sum of its proper divisors (2847549158789).

110110100121211 is a wasteful number, since it uses less digits than its factorization.

110110100121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18259.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110110100121211 its reverse (112121001011011), we get a palindrome (222231101132222).

The spelling of 110110100121211 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one hundred twenty-one thousand, two hundred eleven".