221122011210101 has 2 divisors, whose sum is σ = 221122011210102. Its totient is φ = 221122011210100.

The previous prime is 221122011210059. The next prime is 221122011210173. The reversal of 221122011210101 is 101012110221122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187614109672900 + 33507901537201 = 13697230^2 + 5788601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221122011210101 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 221122011210101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221122011210301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561005605050 + 110561005605051.

It is an arithmetic number, because the mean of its divisors is an integer number (110561005605051).

Almost surely, 2^{221122011210101} is an apocalyptic number.

It is an amenable number.

221122011210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122011210101 is an equidigital number, since it uses as much as digits as its factorization.

221122011210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221122011210101 its reverse (101012110221122), we get a palindrome (322134121431223).

The spelling of 221122011210101 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, eleven million, two hundred ten thousand, one hundred one".