2222102013101 has 2 divisors, whose sum is σ = 2222102013102. Its totient is φ = 2222102013100.

The previous prime is 2222102013083. The next prime is 2222102013137. The reversal of 2222102013101 is 1013102012222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1721225922025 + 500876091076 = 1311955^2 + 707726^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222102013101 - 2¹⁴ = 2222101996717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2222102013101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222102013181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111051006550 + 1111051006551.

It is an arithmetic number, because the mean of its divisors is an integer number (1111051006551).

Almost surely, 2^{2222102013101} is an apocalyptic number.

It is an amenable number.

2222102013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222102013101 is an equidigital number, since it uses as much as digits as its factorization.

2222102013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2222102013101 its reverse (1013102012222), we get a palindrome (3235204025323).

The spelling of 2222102013101 in words is "two trillion, two hundred twenty-two billion, one hundred two million, thirteen thousand, one hundred one".