110100122211101 has 12 divisors (see below), whose sum is σ = 121036123920096. Its totient is φ = 100076975487720.

The previous prime is 110100122211083. The next prime is 110100122211119. The reversal of 110100122211101 is 101112221001011.

It is an interprime number because it is at equal distance from previous prime (110100122211083) and next prime (110100122211119).

It is not a de Polignac number, because 110100122211101 - 2¹⁴ = 110100122194717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100122211701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62973635 + ... + 64698368.

It is an arithmetic number, because the mean of its divisors is an integer number (10086343660008).

Almost surely, 2^{110100122211101} is an apocalyptic number.

110100122211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100122211101 is a deficient number, since it is larger than the sum of its proper divisors (10936001708995).

110100122211101 is a wasteful number, since it uses less digits than its factorization.

110100122211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127679152 (or 127679141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110100122211101 its reverse (101112221001011), we get a palindrome (211212343212112).

The spelling of 110100122211101 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, one hundred one".