210111220011100 has 144 divisors (see below), whose sum is σ = 459820361800800. Its totient is φ = 83332601856000.

The previous prime is 210111220011073. The next prime is 210111220011127. The reversal of 210111220011100 is 1110022111012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210111220011073) and next prime (210111220011127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18595553251 + ... + 18595564549.

It is an arithmetic number, because the mean of its divisors is an integer number (3193196956950).

Almost surely, 2^{210111220011100} is an apocalyptic number.

210111220011100 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 210111220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229910180900400).

210111220011100 is an abundant number, since it is smaller than the sum of its proper divisors (249709141789700).

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

210111220011100 is a wasteful number, since it uses less digits than its factorization.

210111220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 210111220011100 its reverse (1110022111012), we get a palindrome (211221242122112).

The spelling of 210111220011100 in words is "two hundred ten trillion, one hundred eleven billion, two hundred twenty million, eleven thousand, one hundred".