10002110022101 has 8 divisors (see below), whose sum is σ = 10437303639744. Its totient is φ = 9566943010240.

The previous prime is 10002110022083. The next prime is 10002110022127. The reversal of 10002110022101 is 10122001120001.

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-10002110022101 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 (10002110022181) 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, 5881316 + ... + 7388781.

It is an arithmetic number, because the mean of its divisors is an integer number (1304662954968).

Almost surely, 2^{10002110022101} is an apocalyptic number.

It is an amenable number.

10002110022101 is a deficient number, since it is larger than the sum of its proper divisors (435193617643).

10002110022101 is a wasteful number, since it uses less digits than its factorization.

10002110022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302891.

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

Adding to 10002110022101 its reverse (10122001120001), we get a palindrome (20124111142102).

The spelling of 10002110022101 in words is "ten trillion, two billion, one hundred ten million, twenty-two thousand, one hundred one".