10010002101 has 16 divisors (see below), whose sum is σ = 15416474688. Its totient is φ = 5709804800.

The previous prime is 10010002097. The next prime is 10010002117. The reversal of 10010002101 is 10120001001.

It is a cyclic number.

It is not a de Polignac number, because 10010002101 - 2² = 10010002097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010002151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8921010 + ... + 8922131.

It is an arithmetic number, because the mean of its divisors is an integer number (963529668).

Almost surely, 2^10010002101 is an apocalyptic number.

10010002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010002101 is a deficient number, since it is larger than the sum of its proper divisors (5406472587).

10010002101 is a wasteful number, since it uses less digits than its factorization.

10010002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843172.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10010002101 its reverse (10120001001), we get a palindrome (20130003102).

The spelling of 10010002101 in words is "ten billion, ten million, two thousand, one hundred one".