10100010002101 has 8 divisors (see below), whose sum is σ = 10448829076320. Its totient is φ = 9751227119088.

The previous prime is 10100010002099. The next prime is 10100010002113. The reversal of 10100010002101 is 10120001000101.

10100010002101 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 10100010002101 - 2¹ = 10100010002099 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 (10100010002171) 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, 8479411 + ... + 9596896.

It is an arithmetic number, because the mean of its divisors is an integer number (1306103634540).

Almost surely, 2^{10100010002101} is an apocalyptic number.

It is an amenable number.

10100010002101 is a deficient number, since it is larger than the sum of its proper divisors (348819074219).

10100010002101 is a wasteful number, since it uses less digits than its factorization.

10100010002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18095603.

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

Adding to 10100010002101 its reverse (10120001000101), we get a palindrome (20220011002202).

The spelling of 10100010002101 in words is "ten trillion, one hundred billion, ten million, two thousand, one hundred one".