2111122002220 has 192 divisors, whose sum is σ = 5770496858112. Its totient is φ = 629088768000.

The previous prime is 2111122002173. The next prime is 2111122002221. The reversal of 2111122002220 is 222002211112.

It is a happy number.

It is a super-2 number, since 2×2111122002220² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2111122002194 and 2111122002203.

It is not an unprimeable number, because it can be changed into a prime (2111122002221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76528830 + ... + 76556410.

It is an arithmetic number, because the mean of its divisors is an integer number (30054671136).

Almost surely, 2^{2111122002220} is an apocalyptic number.

2111122002220 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 2111122002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885248429056).

2111122002220 is an abundant number, since it is smaller than the sum of its proper divisors (3659374855892).

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

2111122002220 is a wasteful number, since it uses less digits than its factorization.

2111122002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29792 (or 29790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2111122002220 its reverse (222002211112), we get a palindrome (2333124213332).

The spelling of 2111122002220 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, two thousand, two hundred twenty".