101262105636 has 72 divisors (see below), whose sum is σ = 240084077184. Its totient is φ = 33218760960.

The previous prime is 101262105631. The next prime is 101262105649. The reversal of 101262105636 is 636501262101.

It is a junction number, because it is equal to n+sod(n) for n = 101262105597 and 101262105606.

It is not an unprimeable number, because it can be changed into a prime (101262105631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34594405 + ... + 34597331.

It is an arithmetic number, because the mean of its divisors is an integer number (3334501072).

Almost surely, 2^101262105636 is an apocalyptic number.

It is an amenable number.

101262105636 is an abundant number, since it is smaller than the sum of its proper divisors (138821971548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101262105636 is a wasteful number, since it uses less digits than its factorization.

101262105636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 101262105636 its reverse (636501262101), we get a palindrome (737763367737).

The spelling of 101262105636 in words is "one hundred one billion, two hundred sixty-two million, one hundred five thousand, six hundred thirty-six".