10000011002101 has 4 divisors (see below), whose sum is σ = 10063705339852. Its totient is φ = 9936316664352.

The previous prime is 10000011002099. The next prime is 10000011002153. The reversal of 10000011002101 is 10120011000001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6183184533201 + 3816826468900 = 2486601^2 + 1953670^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000011002101 - 2¹ = 10000011002099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31847168640 + ... + 31847168953.

It is an arithmetic number, because the mean of its divisors is an integer number (2515926334963).

Almost surely, 2^{10000011002101} is an apocalyptic number.

It is an amenable number.

10000011002101 is a deficient number, since it is larger than the sum of its proper divisors (63694337751).

10000011002101 is an equidigital number, since it uses as much as digits as its factorization.

10000011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63694337750.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000011002101 its reverse (10120011000001), we get a palindrome (20120022002102).

The spelling of 10000011002101 in words is "ten trillion, eleven million, two thousand, one hundred one".