10502540101 has 2 divisors, whose sum is σ = 10502540102. Its totient is φ = 10502540100.

The previous prime is 10502540063. The next prime is 10502540119. The reversal of 10502540101 is 10104520501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8761147201 + 1741392900 = 93601^2 + 41730^2 .

It is an emirp because it is prime and its reverse (10104520501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10502540101 - 2⁹ = 10502539589 is a prime.

It is a super-2 number, since 2×10502540101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10502540161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5251270050 + 5251270051.

It is an arithmetic number, because the mean of its divisors is an integer number (5251270051).

Almost surely, 2^10502540101 is an apocalyptic number.

It is an amenable number.

10502540101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10502540101 is an equidigital number, since it uses as much as digits as its factorization.

10502540101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 19.

The spelling of 10502540101 in words is "ten billion, five hundred two million, five hundred forty thousand, one hundred one".