110001001001000 has 64 divisors (see below), whose sum is σ = 257465923650000. Its totient is φ = 43989531801600.

The previous prime is 110001001000993. The next prime is 110001001001029. The reversal of 110001001001000 is 100100100011.

It can be written as a sum of positive squares in 8 ways, for example, as 14366722799716 + 95634278201284 = 3790346^2 + 9779278^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9534725 + ... + 17632724.

Almost surely, 2^{110001001001000} is an apocalyptic number.

110001001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001001001000 is an abundant number, since it is smaller than the sum of its proper divisors (147464922649000).

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

110001001001000 is a wasteful number, since it uses less digits than its factorization.

110001001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27171519 (or 27171505 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110001001001000 its reverse (100100100011), we get a palindrome (110101101101011).

The spelling of 110001001001000 in words is "one hundred ten trillion, one billion, one million, one thousand".