21375175146121 has 2 divisors, whose sum is σ = 21375175146122. Its totient is φ = 21375175146120.

The previous prime is 21375175146109. The next prime is 21375175146133. The reversal of 21375175146121 is 12164157157312.

It is a balanced prime because it is at equal distance from previous prime (21375175146109) and next prime (21375175146133).

It can be written as a sum of positive squares in only one way, i.e., 21358853806096 + 16321340025 = 4621564^2 + 127755^2 .

It is a cyclic number.

It is not a de Polignac number, because 21375175146121 - 2¹³ = 21375175137929 is a prime.

It is a super-2 number, since 2×21375175146121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21370175146121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10687587573060 + 10687587573061.

It is an arithmetic number, because the mean of its divisors is an integer number (10687587573061).

Almost surely, 2^{21375175146121} is an apocalyptic number.

It is an amenable number.

21375175146121 is a deficient number, since it is larger than the sum of its proper divisors (1).

21375175146121 is an equidigital number, since it uses as much as digits as its factorization.

21375175146121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 46.

The spelling of 21375175146121 in words is "twenty-one trillion, three hundred seventy-five billion, one hundred seventy-five million, one hundred forty-six thousand, one hundred twenty-one".