101123312909 has 2 divisors, whose sum is σ = 101123312910. Its totient is φ = 101123312908.

The previous prime is 101123312869. The next prime is 101123312929. The reversal of 101123312909 is 909213321101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91928420809 + 9194892100 = 303197^2 + 95890^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123312909 - 2¹² = 101123308813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101123312929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561656454 + 50561656455.

It is an arithmetic number, because the mean of its divisors is an integer number (50561656455).

Almost surely, 2^101123312909 is an apocalyptic number.

It is an amenable number.

101123312909 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123312909 is an equidigital number, since it uses as much as digits as its factorization.

101123312909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 101123312909 in words is "one hundred one billion, one hundred twenty-three million, three hundred twelve thousand, nine hundred nine".