21222120100057 has 2 divisors, whose sum is σ = 21222120100058. Its totient is φ = 21222120100056.

The previous prime is 21222120099997. The next prime is 21222120100073. The reversal of 21222120100057 is 75000102122212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17434499615296 + 3787620484761 = 4175464^2 + 1946181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21222120100057 is a prime.

It is not a weakly prime, because it can be changed into another prime (21222120100757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10611060050028 + 10611060050029.

It is an arithmetic number, because the mean of its divisors is an integer number (10611060050029).

Almost surely, 2^{21222120100057} is an apocalyptic number.

It is an amenable number.

21222120100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222120100057 is an equidigital number, since it uses as much as digits as its factorization.

21222120100057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 21222120100057 its reverse (75000102122212), we get a palindrome (96222222222269).

The spelling of 21222120100057 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, fifty-seven".