10002000101101 has 4 divisors (see below), whose sum is σ = 10023417660672. Its totient is φ = 9980582541532.

The previous prime is 10002000101039. The next prime is 10002000101111. The reversal of 10002000101101 is 10110100020001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10002000101101 - 2²⁹ = 10001463230189 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 (10002000101111) 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, 10708779085 + ... + 10708780018.

It is an arithmetic number, because the mean of its divisors is an integer number (2505854415168).

Almost surely, 2^{10002000101101} is an apocalyptic number.

It is an amenable number.

10002000101101 is a deficient number, since it is larger than the sum of its proper divisors (21417559571).

10002000101101 is an equidigital number, since it uses as much as digits as its factorization.

10002000101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21417559570.

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

Adding to 10002000101101 its reverse (10110100020001), we get a palindrome (20112100121102).

The spelling of 10002000101101 in words is "ten trillion, two billion, one hundred one thousand, one hundred one".