21222102122153 has 2 divisors, whose sum is σ = 21222102122154. Its totient is φ = 21222102122152.

The previous prime is 21222102122131. The next prime is 21222102122231. The reversal of 21222102122153 is 35122120122212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21217198201369 + 4903920784 = 4606213^2 + 70028^2 .

It is a cyclic number.

It is not a de Polignac number, because 21222102122153 - 2¹⁴ = 21222102105769 is a prime.

It is a super-2 number, since 2×21222102122153² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21222102122653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10611051061076 + 10611051061077.

It is an arithmetic number, because the mean of its divisors is an integer number (10611051061077).

Almost surely, 2^{21222102122153} is an apocalyptic number.

It is an amenable number.

21222102122153 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222102122153 is an equidigital number, since it uses as much as digits as its factorization.

21222102122153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 21222102122153 its reverse (35122120122212), we get a palindrome (56344222244365).

The spelling of 21222102122153 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred fifty-three".