110011002200010 has 384 divisors, whose sum is σ = 318735829548864. Its totient is φ = 26200058757120.

The previous prime is 110011002199963. The next prime is 110011002200017. The reversal of 110011002200010 is 10002200110011.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 1367966499201 + 108643035700809 = 1169601^2 + 10423197^2 .

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 = 110011002199965 and 110011002200001.

It is not an unprimeable number, because it can be changed into a prime (110011002200017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8664323982 + ... + 8664336678.

Almost surely, 2^{110011002200010} is an apocalyptic number.

110011002200010 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 110011002200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159367914774432).

110011002200010 is an abundant number, since it is smaller than the sum of its proper divisors (208724827348854).

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

110011002200010 is a wasteful number, since it uses less digits than its factorization.

110011002200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16538 (or 16535 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110011002200010 its reverse (10002200110011), we get a palindrome (120013202310021).

The spelling of 110011002200010 in words is "one hundred ten trillion, eleven billion, two million, two hundred thousand, ten".