10002101101 has 4 divisors (see below), whose sum is σ = 10003956352. Its totient is φ = 10000245852.

The previous prime is 10002101089. The next prime is 10002101143. The reversal of 10002101101 is 10110120001.

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, and also an emirpimes, since its reverse is a distinct semiprime: 10110120001 = 19 ⋅532111579.

It is a cyclic number.

It is not a de Polignac number, because 10002101101 - 2¹⁵ = 10002068333 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 (10002101171) 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, 919515 + ... + 930328.

It is an arithmetic number, because the mean of its divisors is an integer number (2500989088).

Almost surely, 2^10002101101 is an apocalyptic number.

It is an amenable number.

10002101101 is a deficient number, since it is larger than the sum of its proper divisors (1855251).

10002101101 is an equidigital number, since it uses as much as digits as its factorization.

10002101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855250.

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

Adding to 10002101101 its reverse (10110120001), we get a palindrome (20112221102).

The spelling of 10002101101 in words is "ten billion, two million, one hundred one thousand, one hundred one".