10002102212101 has 8 divisors (see below), whose sum is σ = 10693281178944. Its totient is φ = 9322347691200.

The previous prime is 10002102212099. The next prime is 10002102212117. The reversal of 10002102212101 is 10121220120001.

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

It is not a de Polignac number, because 10002102212101 - 2¹ = 10002102212099 is a prime.

It is a super-2 number, since 2×10002102212101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002102212191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2856109675 + ... + 2856113176.

It is an arithmetic number, because the mean of its divisors is an integer number (1336660147368).

Almost surely, 2^{10002102212101} is an apocalyptic number.

It is an amenable number.

10002102212101 is a deficient number, since it is larger than the sum of its proper divisors (691178966843).

10002102212101 is a wasteful number, since it uses less digits than its factorization.

10002102212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712222971.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002102212101 its reverse (10121220120001), we get a palindrome (20123322332102).

The spelling of 10002102212101 in words is "ten trillion, two billion, one hundred two million, two hundred twelve thousand, one hundred one".