10001002101 has 8 divisors (see below), whose sum is σ = 13764820224. Its totient is φ = 6452259360.

The previous prime is 10001002079. The next prime is 10001002103. The reversal of 10001002101 is 10120010001.

10001002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10001002101 - 2¹⁷ = 10000871029 is a prime.

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 10001002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001002103) 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 7 ways as a sum of consecutive naturals, for example, 53768736 + ... + 53768921.

It is an arithmetic number, because the mean of its divisors is an integer number (1720602528).

Almost surely, 2^10001002101 is an apocalyptic number.

It is an amenable number.

10001002101 is a deficient number, since it is larger than the sum of its proper divisors (3763818123).

10001002101 is a wasteful number, since it uses less digits than its factorization.

10001002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107537691.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001002101 its reverse (10120010001), we get a palindrome (20121012102).

The spelling of 10001002101 in words is "ten billion, one million, two thousand, one hundred one".