110011000102101 has 16 divisors (see below), whose sum is σ = 186262010755200. Its totient is φ = 62863428629664.

The previous prime is 110011000102039. The next prime is 110011000102109. The reversal of 110011000102101 is 101201000110011.

It is not a de Polignac number, because 110011000102101 - 2¹⁰ = 110011000101077 is a prime.

It is a super-2 number, since 2×110011000102101² (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 (110011000102109) 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, 291034391616 + ... + 291034391993.

It is an arithmetic number, because the mean of its divisors is an integer number (11641375672200).

Almost surely, 2^{110011000102101} is an apocalyptic number.

It is an amenable number.

110011000102101 is a deficient number, since it is larger than the sum of its proper divisors (76251010653099).

110011000102101 is an equidigital number, since it uses as much as digits as its factorization.

110011000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582068783625 (or 582068783619 counting only the distinct ones).

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

Adding to 110011000102101 its reverse (101201000110011), we get a palindrome (211212000212112).

The spelling of 110011000102101 in words is "one hundred ten trillion, eleven billion, one hundred two thousand, one hundred one".