101123580109 has 2 divisors, whose sum is σ = 101123580110. Its totient is φ = 101123580108.

The previous prime is 101123580097. The next prime is 101123580157. The reversal of 101123580109 is 901085321101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100249490884 + 874089225 = 316622^2 + 29565^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123580109 - 2¹⁹ = 101123055821 is a prime.

It is a super-2 number, since 2×101123580109² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101123580409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561790054 + 50561790055.

It is an arithmetic number, because the mean of its divisors is an integer number (50561790055).

Almost surely, 2^101123580109 is an apocalyptic number.

It is an amenable number.

101123580109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123580109 is an equidigital number, since it uses as much as digits as its factorization.

101123580109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 31.

The spelling of 101123580109 in words is "one hundred one billion, one hundred twenty-three million, five hundred eighty thousand, one hundred nine".