101001010009965 has 24 divisors (see below), whose sum is σ = 174988732140000. Its totient is φ = 49723574157504.

The previous prime is 101001010009901. The next prime is 101001010009967. The reversal of 101001010009965 is 569900010100101.

It is not a de Polignac number, because 101001010009965 - 2⁶ = 101001010009901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001010009967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19921301215 + ... + 19921306284.

It is an arithmetic number, because the mean of its divisors is an integer number (7291197172500).

Almost surely, 2^{101001010009965} is an apocalyptic number.

101001010009965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101001010009965 is a deficient number, since it is larger than the sum of its proper divisors (73987722130035).

101001010009965 is a wasteful number, since it uses less digits than its factorization.

101001010009965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39842607533 (or 39842607520 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 33.

The spelling of 101001010009965 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred sixty-five".