110013002010 has 80 divisors (see below), whose sum is σ = 296005881600. Its totient is φ = 29317646304.

The previous prime is 110013001999. The next prime is 110013002081. The reversal of 110013002010 is 10200310011.

It is a super-2 number, since 2×110013002010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110013001983 and 110013002001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1219231 + ... + 1306349.

It is an arithmetic number, because the mean of its divisors is an integer number (3700073520).

Almost surely, 2^110013002010 is an apocalyptic number.

110013002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110013002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148002940800).

110013002010 is an abundant number, since it is smaller than the sum of its proper divisors (185992879590).

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

110013002010 is a wasteful number, since it uses less digits than its factorization.

110013002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88697 (or 88688 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110013002010 its reverse (10200310011), we get a palindrome (120213312021).

The spelling of 110013002010 in words is "one hundred ten billion, thirteen million, two thousand, ten".