110100100201101 has 12 divisors (see below), whose sum is σ = 161728960748160. Its totient is φ = 72155997871560.

The previous prime is 110100100201057. The next prime is 110100100201103. The reversal of 110100100201101 is 101102001001011.

It is not a de Polignac number, because 110100100201101 - 2¹¹ = 110100100199053 is a prime.

It is a super-2 number, since 2×110100100201101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100100201103) 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 11 ways as a sum of consecutive naturals, for example, 103672410205 + ... + 103672411266.

It is an arithmetic number, because the mean of its divisors is an integer number (13477413395680).

Almost surely, 2^{110100100201101} is an apocalyptic number.

It is an amenable number.

110100100201101 is a deficient number, since it is larger than the sum of its proper divisors (51628860547059).

110100100201101 is a wasteful number, since it uses less digits than its factorization.

110100100201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207344821536 (or 207344821533 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110100100201101 its reverse (101102001001011), we get a palindrome (211202101202112).

The spelling of 110100100201101 in words is "one hundred ten trillion, one hundred billion, one hundred million, two hundred one thousand, one hundred one".