220210000111100 has 288 divisors, whose sum is σ = 519321751280640. Its totient is φ = 80732693053440.

The previous prime is 220210000111043. The next prime is 220210000111159. The reversal of 220210000111100 is 1111000012022.

220210000111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14545867331 + ... + 14545882469.

It is an arithmetic number, because the mean of its divisors is an integer number (1803200525280).

Almost surely, 2^{220210000111100} is an apocalyptic number.

220210000111100 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 220210000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259660875640320).

220210000111100 is an abundant number, since it is smaller than the sum of its proper divisors (299111751169540).

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

220210000111100 is a wasteful number, since it uses less digits than its factorization.

220210000111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16117 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 220210000111100 its reverse (1111000012022), we get a palindrome (221321000123122).

The spelling of 220210000111100 in words is "two hundred twenty trillion, two hundred ten billion, one hundred eleven thousand, one hundred".