101422131333409 has 2 divisors, whose sum is σ = 101422131333410. Its totient is φ = 101422131333408.

The previous prime is 101422131333373. The next prime is 101422131333433. The reversal of 101422131333409 is 904333131224101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100371243917025 + 1050887416384 = 10018545^2 + 1025128^2 .

It is a cyclic number.

It is not a de Polignac number, because 101422131333409 - 2¹⁹ = 101422130809121 is a prime.

It is a super-2 number, since 2×101422131333409² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101422132333409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50711065666704 + 50711065666705.

It is an arithmetic number, because the mean of its divisors is an integer number (50711065666705).

Almost surely, 2^{101422131333409} is an apocalyptic number.

It is an amenable number.

101422131333409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101422131333409 is an equidigital number, since it uses as much as digits as its factorization.

101422131333409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 101422131333409 in words is "one hundred one trillion, four hundred twenty-two billion, one hundred thirty-one million, three hundred thirty-three thousand, four hundred nine".