2221313211101 has 16 divisors (see below), whose sum is σ = 2234654727408. Its totient is φ = 2208015667200.

The previous prime is 2221313211059. The next prime is 2221313211121. The reversal of 2221313211101 is 1011123131222.

It can be written as a sum of positive squares in 8 ways, for example, as 259996990201 + 1961316220900 = 509899^2 + 1400470^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2221313211101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221313211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311934821 + ... + 311941941.

It is an arithmetic number, because the mean of its divisors is an integer number (139665920463).

Almost surely, 2^{2221313211101} is an apocalyptic number.

It is an amenable number.

2221313211101 is a deficient number, since it is larger than the sum of its proper divisors (13341516307).

2221313211101 is a wasteful number, since it uses less digits than its factorization.

2221313211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2221313211101 its reverse (1011123131222), we get a palindrome (3232436342323).

The spelling of 2221313211101 in words is "two trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred eleven thousand, one hundred one".