10002102101 has 8 divisors (see below), whose sum is σ = 10216990080. Its totient is φ = 9787300768.

The previous prime is 10002102083. The next prime is 10002102127. The reversal of 10002102101 is 10120120001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002102101 is a prime.

It is a super-2 number, since 2×10002102101² (a number of 21 digits) contains 22 as substring.

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 (10002102181) 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 7 ways as a sum of consecutive naturals, for example, 247070 + ... + 284688.

It is an arithmetic number, because the mean of its divisors is an integer number (1277123760).

Almost surely, 2^10002102101 is an apocalyptic number.

It is an amenable number.

10002102101 is a deficient number, since it is larger than the sum of its proper divisors (214887979).

10002102101 is an equidigital number, since it uses as much as digits as its factorization.

10002102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43323.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002102101 its reverse (10120120001), we get a palindrome (20122222102).

The spelling of 10002102101 in words is "ten billion, two million, one hundred two thousand, one hundred one".