10010010200021 has 16 divisors (see below), whose sum is σ = 11418042981744. Its totient is φ = 8693497580544.

The previous prime is 10010010199979. The next prime is 10010010200027. The reversal of 10010010200021 is 12000201001001.

It can be written as a sum of positive squares in 8 ways, for example, as 1498699917796 + 8511310282225 = 1224214^2 + 2917415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010200021 - 2²² = 10010006005717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010010199981 and 10010010200008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010010200027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7119170 + ... + 8408483.

It is an arithmetic number, because the mean of its divisors is an integer number (713627686359).

Almost surely, 2^{10010010200021} is an apocalyptic number.

It is an amenable number.

10010010200021 is a deficient number, since it is larger than the sum of its proper divisors (1408032781723).

10010010200021 is a wasteful number, since it uses less digits than its factorization.

10010010200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530600.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010010200021 its reverse (12000201001001), we get a palindrome (22010211201022).

The spelling of 10010010200021 in words is "ten trillion, ten billion, ten million, two hundred thousand, twenty-one".