10002101122201 has 4 divisors (see below), whose sum is σ = 10016745487632. Its totient is φ = 9987456756772.

The previous prime is 10002101122177. The next prime is 10002101122217. The reversal of 10002101122201 is 10222110120001.

10002101122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10002101122201 - 2¹⁵ = 10002101089433 is a prime.

It is a super-3 number, since 3×10002101122201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002101122241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7322181691 + ... + 7322183056.

It is an arithmetic number, because the mean of its divisors is an integer number (2504186371908).

Almost surely, 2^{10002101122201} is an apocalyptic number.

It is an amenable number.

10002101122201 is a deficient number, since it is larger than the sum of its proper divisors (14644365431).

10002101122201 is an equidigital number, since it uses as much as digits as its factorization.

10002101122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644365430.

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

Adding to 10002101122201 its reverse (10222110120001), we get a palindrome (20224211242202).

The spelling of 10002101122201 in words is "ten trillion, two billion, one hundred one million, one hundred twenty-two thousand, two hundred one".