10020201020101 has 16 divisors (see below), whose sum is σ = 10372012277760. Its totient is φ = 9670182323760.

The previous prime is 10020201020099. The next prime is 10020201020111. The reversal of 10020201020101 is 10102010202001.

It is a cyclic number.

It is not a de Polignac number, because 10020201020101 - 2¹ = 10020201020099 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 (10020201020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103142916 + ... + 103240018.

It is an arithmetic number, because the mean of its divisors is an integer number (648250767360).

Almost surely, 2^{10020201020101} is an apocalyptic number.

It is an amenable number.

10020201020101 is a deficient number, since it is larger than the sum of its proper divisors (351811257659).

10020201020101 is an equidigital number, since it uses as much as digits as its factorization.

10020201020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106296.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10020201020101 its reverse (10102010202001), we get a palindrome (20122211222102).

The spelling of 10020201020101 in words is "ten trillion, twenty billion, two hundred one million, twenty thousand, one hundred one".