10500106010601 has 8 divisors (see below), whose sum is σ = 14608843145280. Its totient is φ = 6695719774832.

The previous prime is 10500106010599. The next prime is 10500106010609. The reversal of 10500106010601 is 10601060100501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10500106010601 - 2¹ = 10500106010599 is a prime.

It is a super-3 number, since 3×10500106010601³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10500106010609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76087724646 + ... + 76087724783.

It is an arithmetic number, because the mean of its divisors is an integer number (1826105393160).

Almost surely, 2^{10500106010601} is an apocalyptic number.

It is an amenable number.

10500106010601 is a deficient number, since it is larger than the sum of its proper divisors (4108737134679).

10500106010601 is a wasteful number, since it uses less digits than its factorization.

10500106010601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152175449455.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 10500106010601 in words is "ten trillion, five hundred billion, one hundred six million, ten thousand, six hundred one".