110201212013300 has 72 divisors (see below), whose sum is σ = 241361603248920. Its totient is φ = 43670455603200.

The previous prime is 110201212013297. The next prime is 110201212013303. The reversal of 110201212013300 is 3310212102011.

It is an interprime number because it is at equal distance from previous prime (110201212013297) and next prime (110201212013303).

It can be written as a sum of positive squares in 12 ways, for example, as 61662290221156 + 48538921792144 = 7852534^2 + 6966988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201212013303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84558620 + ... + 85851980.

Almost surely, 2^{110201212013300} is an apocalyptic number.

110201212013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201212013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120680801624460).

110201212013300 is an abundant number, since it is smaller than the sum of its proper divisors (131160391235620).

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

110201212013300 is a wasteful number, since it uses less digits than its factorization.

110201212013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301301 (or 1301294 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 110201212013300 its reverse (3310212102011), we get a palindrome (113511424115311).

The spelling of 110201212013300 in words is "one hundred ten trillion, two hundred one billion, two hundred twelve million, thirteen thousand, three hundred".