10002101112101 has 64 divisors (see below), whose sum is σ = 12393444704256. Its totient is φ = 7890206284800.

The previous prime is 10002101112089. The next prime is 10002101112119. The reversal of 10002101112101 is 10121110120001.

It is not a de Polignac number, because 10002101112101 - 2⁶ = 10002101112037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002101112191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192407225 + ... + 192459201.

It is an arithmetic number, because the mean of its divisors is an integer number (193647573504).

Almost surely, 2^{10002101112101} is an apocalyptic number.

It is an amenable number.

10002101112101 is a deficient number, since it is larger than the sum of its proper divisors (2391343592155).

10002101112101 is a wasteful number, since it uses less digits than its factorization.

10002101112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52602.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10002101112101 its reverse (10121110120001), we get a palindrome (20123211232102).

The spelling of 10002101112101 in words is "ten trillion, two billion, one hundred one million, one hundred twelve thousand, one hundred one".