10001102010121 has 4 divisors (see below), whose sum is σ = 10001180737044. Its totient is φ = 10001023283200.

The previous prime is 10001102010089. The next prime is 10001102010143. The reversal of 10001102010121 is 12101020110001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1239436890000 + 8761665120121 = 1113300^2 + 2960011^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001102010121 - 2⁵ = 10001102010089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001102010098 and 10001102010107.

It is not an unprimeable number, because it can be changed into a prime (10001102010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39172600 + ... + 39427081.

It is an arithmetic number, because the mean of its divisors is an integer number (2500295184261).

Almost surely, 2^{10001102010121} is an apocalyptic number.

It is an amenable number.

10001102010121 is a deficient number, since it is larger than the sum of its proper divisors (78726923).

10001102010121 is an equidigital number, since it uses as much as digits as its factorization.

10001102010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78726922.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001102010121 its reverse (12101020110001), we get a palindrome (22102122120122).

The spelling of 10001102010121 in words is "ten trillion, one billion, one hundred two million, ten thousand, one hundred twenty-one".