20121222021101 has 2 divisors, whose sum is σ = 20121222021102. Its totient is φ = 20121222021100.

The previous prime is 20121222021079. The next prime is 20121222021107. The reversal of 20121222021101 is 10112022212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14862960273001 + 5258261748100 = 3855251^2 + 2293090^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121222021101 - 2⁶ = 20121222021037 is a prime.

It is a super-2 number, since 2×20121222021101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20121222021101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121222021107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060611010550 + 10060611010551.

It is an arithmetic number, because the mean of its divisors is an integer number (10060611010551).

Almost surely, 2^{20121222021101} is an apocalyptic number.

It is an amenable number.

20121222021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121222021101 is an equidigital number, since it uses as much as digits as its factorization.

20121222021101 is an evil number, because the sum of its binary digits is even.

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

Adding to 20121222021101 its reverse (10112022212102), we get a palindrome (30233244233203).

The spelling of 20121222021101 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, twenty-one thousand, one hundred one".