10000002101 has 4 divisors (see below), whose sum is σ = 10037177100. Its totient is φ = 9962827104.

The previous prime is 10000002071. The next prime is 10000002113. The reversal of 10000002101 is 10120000001.

It is a happy number.

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 3454383076 + 6545619025 = 58774^2 + 80905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000002101 - 2⁶ = 10000002037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18587096 + ... + 18587633.

It is an arithmetic number, because the mean of its divisors is an integer number (2509294275).

Almost surely, 2^10000002101 is an apocalyptic number.

It is an amenable number.

10000002101 is a deficient number, since it is larger than the sum of its proper divisors (37174999).

10000002101 is an equidigital number, since it uses as much as digits as its factorization.

10000002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37174998.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000002101 its reverse (10120000001), we get a palindrome (20120002102).

The spelling of 10000002101 in words is "ten billion, two thousand, one hundred one".