201010111100000 has 144 divisors (see below), whose sum is σ = 497374532836272. Its totient is φ = 79959816000000.

The previous prime is 201010111099979. The next prime is 201010111100003. The reversal of 201010111100000 is 1111010102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010111100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12547235 + ... + 23652765.

It is an arithmetic number, because the mean of its divisors is an integer number (3453989811363).

Almost surely, 2^{201010111100000} is an apocalyptic number.

201010111100000 is a gapful number since it is divisible by the number (20) 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 201010111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248687266418136).

201010111100000 is an abundant number, since it is smaller than the sum of its proper divisors (296364421736272).

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

201010111100000 is an equidigital number, since it uses as much as digits as its factorization.

201010111100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105747 (or 11105719 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201010111100000 its reverse (1111010102), we get a palindrome (201011222110102).

The spelling of 201010111100000 in words is "two hundred one trillion, ten billion, one hundred eleven million, one hundred thousand".