101322003331123 has 2 divisors, whose sum is σ = 101322003331124. Its totient is φ = 101322003331122.

The previous prime is 101322003331079. The next prime is 101322003331139. The reversal of 101322003331123 is 321133300223101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101322003331123 - 2¹³ = 101322003322931 is a prime.

It is a super-2 number, since 2×101322003331123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101322003331223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661001665561 + 50661001665562.

It is an arithmetic number, because the mean of its divisors is an integer number (50661001665562).

Almost surely, 2^{101322003331123} is an apocalyptic number.

101322003331123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322003331123 is an equidigital number, since it uses as much as digits as its factorization.

101322003331123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101322003331123 its reverse (321133300223101), we get a palindrome (422455303554224).

The spelling of 101322003331123 in words is "one hundred one trillion, three hundred twenty-two billion, three million, three hundred thirty-one thousand, one hundred twenty-three".