101785564101 has 16 divisors (see below), whose sum is σ = 146409623360. Its totient is φ = 62527559040.

The previous prime is 101785564087. The next prime is 101785564121. The reversal of 101785564101 is 101465587101.

It is a happy number.

It is not a de Polignac number, because 101785564101 - 2⁹ = 101785563589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101785564101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101785564121) 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, 2263096 + ... + 2307633.

It is an arithmetic number, because the mean of its divisors is an integer number (9150601460).

Almost surely, 2^101785564101 is an apocalyptic number.

It is an amenable number.

101785564101 is a deficient number, since it is larger than the sum of its proper divisors (44624059259).

101785564101 is a wasteful number, since it uses less digits than its factorization.

101785564101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571316.

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 101785564101 in words is "one hundred one billion, seven hundred eighty-five million, five hundred sixty-four thousand, one hundred one".