101263536101 has 16 divisors (see below), whose sum is σ = 124646680704. Its totient is φ = 80111191104.

The previous prime is 101263536091. The next prime is 101263536113. The reversal of 101263536101 is 101635362101.

It is not a de Polignac number, because 101263536101 - 2¹⁴ = 101263519717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101263536161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772526 + ... + 894048.

It is an arithmetic number, because the mean of its divisors is an integer number (7790417544).

Almost surely, 2^101263536101 is an apocalyptic number.

It is an amenable number.

101263536101 is a deficient number, since it is larger than the sum of its proper divisors (23383144603).

101263536101 is a wasteful number, since it uses less digits than its factorization.

101263536101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130700.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 101263536101 its reverse (101635362101), we get a palindrome (202898898202).

The spelling of 101263536101 in words is "one hundred one billion, two hundred sixty-three million, five hundred thirty-six thousand, one hundred one".