2221313002101 has 12 divisors (see below), whose sum is σ = 3220146489612. Its totient is φ = 1475529212736.

The previous prime is 2221313002057. The next prime is 2221313002147. The reversal of 2221313002101 is 1012003131222.

2221313002101 is a `hidden beast` number, since 2 + 22 + 131 + 300 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234862359876 + 1986450642225 = 484626^2 + 1409415^2 .

It is not a de Polignac number, because 2221313002101 - 2¹³ = 2221312993909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221313004101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445507536 + ... + 445512521.

It is an arithmetic number, because the mean of its divisors is an integer number (268345540801).

Almost surely, 2^{2221313002101} is an apocalyptic number.

It is an amenable number.

2221313002101 is a deficient number, since it is larger than the sum of its proper divisors (998833487511).

2221313002101 is a wasteful number, since it uses less digits than its factorization.

2221313002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891020340 (or 891020337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2221313002101 its reverse (1012003131222), we get a palindrome (3233316133323).

The spelling of 2221313002101 in words is "two trillion, two hundred twenty-one billion, three hundred thirteen million, two thousand, one hundred one".