110001000512 has 112 divisors (see below), whose sum is σ = 243861945600. Its totient is φ = 48903229440.

The previous prime is 110001000451. The next prime is 110001000539. The reversal of 110001000512 is 215000100011.

It is a super-2 number, since 2×110001000512² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110001000493 and 110001000502.

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, 2674439 + ... + 2715257.

It is an arithmetic number, because the mean of its divisors is an integer number (2177338800).

Almost surely, 2^110001000512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121930972800).

110001000512 is an abundant number, since it is smaller than the sum of its proper divisors (133860945088).

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

110001000512 is a wasteful number, since it uses less digits than its factorization.

110001000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40964 (or 40954 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 110001000512 its reverse (215000100011), we get a palindrome (325001100523).

The spelling of 110001000512 in words is "one hundred ten billion, one million, five hundred twelve", and thus it is an aban number.