110100122111101 has 16 divisors (see below), whose sum is σ = 112490233473024. Its totient is φ = 107733892541184.

The previous prime is 110100122111099. The next prime is 110100122111129. The reversal of 110100122111101 is 101111221001011.

It is a cyclic number.

It is not a de Polignac number, because 110100122111101 - 2¹ = 110100122111099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100122111701) 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 15 ways as a sum of consecutive naturals, for example, 387784545 + ... + 388068361.

It is an arithmetic number, because the mean of its divisors is an integer number (7030639592064).

Almost surely, 2^{110100122111101} is an apocalyptic number.

It is an amenable number.

110100122111101 is a deficient number, since it is larger than the sum of its proper divisors (2390111361923).

110100122111101 is a wasteful number, since it uses less digits than its factorization.

110100122111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325860.

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

Adding to 110100122111101 its reverse (101111221001011), we get a palindrome (211211343112112).

The spelling of 110100122111101 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".