100201330110 has 128 divisors (see below), whose sum is σ = 287474448384. Its totient is φ = 21854891520.

The previous prime is 100201330081. The next prime is 100201330171. The reversal of 100201330110 is 11033102001.

100201330110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100201330110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2008792 + ... + 2058068.

It is an arithmetic number, because the mean of its divisors is an integer number (2245894128).

Almost surely, 2^100201330110 is an apocalyptic number.

100201330110 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 100201330110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143737224192).

100201330110 is an abundant number, since it is smaller than the sum of its proper divisors (187273118274).

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

100201330110 is a wasteful number, since it uses less digits than its factorization.

100201330110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49738.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100201330110 its reverse (11033102001), we get a palindrome (111234432111).

The spelling of 100201330110 in words is "one hundred billion, two hundred one million, three hundred thirty thousand, one hundred ten".