2201311212100 has 576 divisors, whose sum is σ = 6644758708224. Its totient is φ = 610675200000.

The previous prime is 2201311212083. The next prime is 2201311212109. The reversal of 2201311212100 is 12121131022.

It is not an unprimeable number, because it can be changed into a prime (2201311212109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 965062960 + ... + 965065240.

It is an arithmetic number, because the mean of its divisors is an integer number (11536039424).

Almost surely, 2^{2201311212100} is an apocalyptic number.

2201311212100 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 2201311212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322379354112).

2201311212100 is an abundant number, since it is smaller than the sum of its proper divisors (4443447496124).

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

2201311212100 is a wasteful number, since it uses less digits than its factorization.

2201311212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2201311212100 its reverse (12121131022), we get a palindrome (2213432343122).

The spelling of 2201311212100 in words is "two trillion, two hundred one billion, three hundred eleven million, two hundred twelve thousand, one hundred".