2201100000000 has 1296 divisors, whose sum is σ = 8623120584960. Its totient is φ = 492800000000.

The previous prime is 2201099999957. The next prime is 2201100000031. The reversal of 2201100000000 is 11022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75899999986 + ... + 75900000014.

Almost surely, 2^{2201100000000} is an apocalyptic number.

2201100000000 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 2201100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311560292480).

2201100000000 is an abundant number, since it is smaller than the sum of its proper divisors (6422020584960).

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

2201100000000 is an frugal number, since it uses more digits than its factorization.

2201100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2201100000000 its reverse (11022), we get a palindrome (2201100011022).

The spelling of 2201100000000 in words is "two trillion, two hundred one billion, one hundred million", and thus it is an aban number.