110011012000 has 96 divisors (see below), whose sum is σ = 286197060240. Its totient is φ = 41415884800.

The previous prime is 110011011991. The next prime is 110011012019. The reversal of 110011012000 is 210110011.

It can be written as a sum of positive squares in 8 ways, for example, as 1983099024 + 108027912976 = 44532^2 + 328676^2 .

It is a super-2 number, since 2×110011012000² (a number of 23 digits) contains 22 as substring.

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, 740905 + ... + 876904.

Almost surely, 2^110011012000 is an apocalyptic number.

110011012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110011012000 is an abundant number, since it is smaller than the sum of its proper divisors (176186048240).

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

110011012000 is a wasteful number, since it uses less digits than its factorization.

110011012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617851 (or 1617833 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110011012000 its reverse (210110011), we get a palindrome (110221122011).

The spelling of 110011012000 in words is "one hundred ten billion, eleven million, twelve thousand".