101051001165523 has 2 divisors, whose sum is σ = 101051001165524. Its totient is φ = 101051001165522.

The previous prime is 101051001165509. The next prime is 101051001165529. The reversal of 101051001165523 is 325561100150101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (325561100150101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101051001165523 is a prime.

It is a super-2 number, since 2×101051001165523² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101051001165529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525500582761 + 50525500582762.

It is an arithmetic number, because the mean of its divisors is an integer number (50525500582762).

Almost surely, 2^{101051001165523} is an apocalyptic number.

101051001165523 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051001165523 is an equidigital number, since it uses as much as digits as its factorization.

101051001165523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 101051001165523 in words is "one hundred one trillion, fifty-one billion, one million, one hundred sixty-five thousand, five hundred twenty-three".