110100101201101 has 16 divisors (see below), whose sum is σ = 131927726845440. Its totient is φ = 90700312198320.

The previous prime is 110100101200919. The next prime is 110100101201143. The reversal of 110100101201101 is 101102101001011.

It is not a de Polignac number, because 110100101201101 - 2²¹ = 110100099103949 is a prime.

It is a super-2 number, since 2×110100101201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100101202101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11452054815 + ... + 11452064428.

It is an arithmetic number, because the mean of its divisors is an integer number (8245482927840).

Almost surely, 2^{110100101201101} is an apocalyptic number.

110100101201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100101201101 is a deficient number, since it is larger than the sum of its proper divisors (21827625644339).

110100101201101 is a wasteful number, since it uses less digits than its factorization.

110100101201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22904119296.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110100101201101 its reverse (101102101001011), we get a palindrome (211202202202112).

The spelling of 110100101201101 in words is "one hundred ten trillion, one hundred billion, one hundred one million, two hundred one thousand, one hundred one".