10020121102001 has 8 divisors (see below), whose sum is σ = 10809719991144. Its totient is φ = 9252764435200.

The previous prime is 10020121101983. The next prime is 10020121102067. The reversal of 10020121102001 is 10020112102001.

10020121102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4927516479601 + 5092604622400 = 2219801^2 + 2256680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10020121102001 - 2⁶ = 10020121101937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020121102501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5560554650 + ... + 5560556451.

It is an arithmetic number, because the mean of its divisors is an integer number (1351214998893).

Almost surely, 2^{10020121102001} is an apocalyptic number.

It is an amenable number.

10020121102001 is a deficient number, since it is larger than the sum of its proper divisors (789598889143).

10020121102001 is a wasteful number, since it uses less digits than its factorization.

10020121102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121111171.

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

Adding to 10020121102001 its reverse (10020112102001), we get a palindrome (20040233204002).

Subtracting from 10020121102001 its reverse (10020112102001), we obtain a square (9000000 = 3000²).

The spelling of 10020121102001 in words is "ten trillion, twenty billion, one hundred twenty-one million, one hundred two thousand, one".