110101001001000 has 64 divisors (see below), whose sum is σ = 343515123132480. Its totient is φ = 29360266932800.

The previous prime is 110101001000957. The next prime is 110101001001007. The reversal of 110101001001000 is 100100101011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 110101001001000.

It is not an unprimeable number, because it can be changed into a prime (110101001001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18350163834 + ... + 18350169833.

It is an arithmetic number, because the mean of its divisors is an integer number (5367423798945).

Almost surely, 2^{110101001001000} is an apocalyptic number.

110101001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101001001000 is an abundant number, since it is smaller than the sum of its proper divisors (233414122131480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110101001001000 is a wasteful number, since it uses less digits than its factorization.

110101001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36700333691 (or 36700333677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110101001001000 its reverse (100100101011), we get a palindrome (110201101102011).

The spelling of 110101001001000 in words is "one hundred ten trillion, one hundred one billion, one million, one thousand".