2201100011022 has 144 divisors (see below), whose sum is σ = 5052033455616. Its totient is φ = 638179555200.

The previous prime is 2201100010939. The next prime is 2201100011039.

2201100011022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2201100010989 and 2201100011007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178263853 + ... + 178276199.

It is an arithmetic number, because the mean of its divisors is an integer number (35083565664).

Almost surely, 2^{2201100011022} is an apocalyptic number.

2201100011022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201100011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526016727808).

2201100011022 is an abundant number, since it is smaller than the sum of its proper divisors (2850933444594).

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

2201100011022 is a wasteful number, since it uses less digits than its factorization.

2201100011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12583 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 22011000 and 11022, that added together give a palindrome (22022022).

The spelling of 2201100011022 in words is "two trillion, two hundred one billion, one hundred million, eleven thousand, twenty-two".