2111211102220 has 192 divisors, whose sum is σ = 5036832460800. Its totient is φ = 736750976000.

The previous prime is 2111211102197. The next prime is 2111211102281. The reversal of 2111211102220 is 222011121112.

It is a junction number, because it is equal to n+sod(n) for n = 2111211102194 and 2111211102203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97734981 + ... + 97756579.

It is an arithmetic number, because the mean of its divisors is an integer number (26233502400).

Almost surely, 2^{2111211102220} is an apocalyptic number.

2111211102220 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 2111211102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518416230400).

2111211102220 is an abundant number, since it is smaller than the sum of its proper divisors (2925621358580).

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

2111211102220 is a wasteful number, since it uses less digits than its factorization.

2111211102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21856 (or 21854 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2111211102220 its reverse (222011121112), we get a palindrome (2333222223332).

The spelling of 2111211102220 in words is "two trillion, one hundred eleven billion, two hundred eleven million, one hundred two thousand, two hundred twenty".