10021010220001 has 6 divisors (see below), whose sum is σ = 11014829415506. Its totient is φ = 9110009290800.

The previous prime is 10021010219999. The next prime is 10021010220031. The reversal of 10021010220001 is 10002201012001.

It can be written as a sum of positive squares in only one way, i.e., 9284544173025 + 736466046976 = 3047055^2 + 858176^2 .

It is not a de Polignac number, because 10021010220001 - 2¹ = 10021010219999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10021010220001.

It is not an unprimeable number, because it can be changed into a prime (10021010220031) 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 5 ways as a sum of consecutive naturals, for example, 41409133020 + ... + 41409133261.

Almost surely, 2^{10021010220001} is an apocalyptic number.

10021010220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021010220001 is a deficient number, since it is larger than the sum of its proper divisors (993819195505).

10021010220001 is an equidigital number, since it uses as much as digits as its factorization.

10021010220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82818266303 (or 82818266292 counting only the distinct ones).

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

Adding to 10021010220001 its reverse (10002201012001), we get a palindrome (20023211232002).

The spelling of 10021010220001 in words is "ten trillion, twenty-one billion, ten million, two hundred twenty thousand, one".