10020020202001 has 8 divisors (see below), whose sum is σ = 10023170445000. Its totient is φ = 10016870261760.

The previous prime is 10020020201981. The next prime is 10020020202011. The reversal of 10020020202001 is 10020202002001.

It can be written as a sum of positive squares in 4 ways, for example, as 164037150225 + 9855983051776 = 405015^2 + 3139424^2 .

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 10020020202001 - 2³⁵ = 9985660463633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020020202011) 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, 78684741 + ... + 78811981.

It is an arithmetic number, because the mean of its divisors is an integer number (1252896305625).

Almost surely, 2^{10020020202001} is an apocalyptic number.

It is an amenable number.

10020020202001 is a deficient number, since it is larger than the sum of its proper divisors (3150242999).

10020020202001 is a wasteful number, since it uses less digits than its factorization.

10020020202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151379.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020020202001 its reverse (10020202002001), we get a palindrome (20040222204002).

The spelling of 10020020202001 in words is "ten trillion, twenty billion, twenty million, two hundred two thousand, one".