10102002012101 has 8 divisors (see below), whose sum is σ = 10904709818880. Its totient is φ = 9329585066032.

The previous prime is 10102002012079. The next prime is 10102002012161. The reversal of 10102002012101 is 10121020020101.

10102002012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10102002012101 - 2¹⁰ = 10102002011077 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 (10102002012161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7572714485 + ... + 7572715818.

It is an arithmetic number, because the mean of its divisors is an integer number (1363088727360).

Almost surely, 2^{10102002012101} is an apocalyptic number.

It is an amenable number.

10102002012101 is a deficient number, since it is larger than the sum of its proper divisors (802707806779).

10102002012101 is a wasteful number, since it uses less digits than its factorization.

10102002012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15145430355.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102002012101 its reverse (10121020020101), we get a palindrome (20223022032202).

The spelling of 10102002012101 in words is "ten trillion, one hundred two billion, two million, twelve thousand, one hundred one".