101123334143969 has 2 divisors, whose sum is σ = 101123334143970. Its totient is φ = 101123334143968.

The previous prime is 101123334143957. The next prime is 101123334144071. The reversal of 101123334143969 is 969341433321101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59070184318369 + 42053149825600 = 7685713^2 + 6484840^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123334143969 - 2¹⁶ = 101123334078433 is a prime.

It is a super-3 number, since 3×101123334143969³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101123334143939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561667071984 + 50561667071985.

It is an arithmetic number, because the mean of its divisors is an integer number (50561667071985).

Almost surely, 2^{101123334143969} is an apocalyptic number.

It is an amenable number.

101123334143969 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123334143969 is an equidigital number, since it uses as much as digits as its factorization.

101123334143969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1259712, while the sum is 50.

The spelling of 101123334143969 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred thirty-four million, one hundred forty-three thousand, nine hundred sixty-nine".