211110021111220 has 288 divisors, whose sum is σ = 563823748857600. Its totient is φ = 65656906076160.

The previous prime is 211110021111193. The next prime is 211110021111233. The reversal of 211110021111220 is 22111120011112.

It is a junction number, because it is equal to n+sod(n) for n = 211110021111194 and 211110021111203.

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, 10248546481 + ... + 10248567079.

It is an arithmetic number, because the mean of its divisors is an integer number (1957721350200).

Almost surely, 2^{211110021111220} is an apocalyptic number.

211110021111220 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 211110021111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281911874428800).

211110021111220 is an abundant number, since it is smaller than the sum of its proper divisors (352713727746380).

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

211110021111220 is a wasteful number, since it uses less digits than its factorization.

211110021111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22663 (or 22654 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211110021111220 its reverse (22111120011112), we get a palindrome (233221141122332).

It can be divided in two parts, 21111002 and 1111220, that added together give a palindrome (22222222).

The spelling of 211110021111220 in words is "two hundred eleven trillion, one hundred ten billion, twenty-one million, one hundred eleven thousand, two hundred twenty".