10100000101 has 8 divisors (see below), whose sum is σ = 10800001944. Its totient is φ = 9411763200.

The previous prime is 10100000087. The next prime is 10100000111.

10100000101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6978096225 + 3121903876 = 83535^2 + 55874^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100000101 is a prime.

10100000101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000111) 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, 2939460 + ... + 2942893.

It is an arithmetic number, because the mean of its divisors is an integer number (1350000243).

Almost surely, 2^10100000101 is an apocalyptic number.

It is an amenable number.

10100000101 is a deficient number, since it is larger than the sum of its proper divisors (700001843).

10100000101 is a wasteful number, since it uses less digits than its factorization.

10100000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882471.

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 10100000 and 101, that added together give a palindrome (10100101).

The spelling of 10100000101 in words is "ten billion, one hundred million, one hundred one", and thus it is an aban number.