20121022221101 has 2 divisors, whose sum is σ = 20121022221102. Its totient is φ = 20121022221100.

The previous prime is 20121022221077. The next prime is 20121022221121. The reversal of 20121022221101 is 10112222012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19805036581225 + 315985639876 = 4450285^2 + 562126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20121022221101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20121022221101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121022221121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060511110550 + 10060511110551.

It is an arithmetic number, because the mean of its divisors is an integer number (10060511110551).

Almost surely, 2^{20121022221101} is an apocalyptic number.

It is an amenable number.

20121022221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121022221101 is an equidigital number, since it uses as much as digits as its factorization.

20121022221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20121022221101 its reverse (10112222012102), we get a palindrome (30233244233203).

The spelling of 20121022221101 in words is "twenty trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred one".