10020121001101 has 8 divisors (see below), whose sum is σ = 10030575238200. Its totient is φ = 10009667171328.

The previous prime is 10020121001083. The next prime is 10020121001117. The reversal of 10020121001101 is 10110012102001.

It can be written as a sum of positive squares in 4 ways, for example, as 637600653001 + 9382520348100 = 798499^2 + 3063090^2 .

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-10020121001101 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 (10020121008101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95252805 + ... + 95357941.

It is an arithmetic number, because the mean of its divisors is an integer number (1253821904775).

Almost surely, 2^{10020121001101} is an apocalyptic number.

It is an amenable number.

10020121001101 is a deficient number, since it is larger than the sum of its proper divisors (10454237099).

10020121001101 is an equidigital number, since it uses as much as digits as its factorization.

10020121001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203663.

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

Adding to 10020121001101 its reverse (10110012102001), we get a palindrome (20130133103102).

The spelling of 10020121001101 in words is "ten trillion, twenty billion, one hundred twenty-one million, one thousand, one hundred one".