10021002100021 has 16 divisors (see below), whose sum is σ = 11507476608000. Its totient is φ = 8630448793200.

The previous prime is 10021002099991. The next prime is 10021002100027. The reversal of 10021002100021 is 12000120012001.

It is a cyclic number.

It is not a de Polignac number, because 10021002100021 - 2⁹ = 10021002099509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021002099980 and 10021002100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021002100027) 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, 40757626 + ... + 41002756.

It is an arithmetic number, because the mean of its divisors is an integer number (719217288000).

Almost surely, 2^{10021002100021} is an apocalyptic number.

10021002100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021002100021 is a deficient number, since it is larger than the sum of its proper divisors (1486474507979).

10021002100021 is a wasteful number, since it uses less digits than its factorization.

10021002100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440760.

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

Adding to 10021002100021 its reverse (12000120012001), we get a palindrome (22021122112022).

The spelling of 10021002100021 in words is "ten trillion, twenty-one billion, two million, one hundred thousand, twenty-one".