10001012210021 has 16 divisors (see below), whose sum is σ = 11928033177600. Its totient is φ = 8198652491568.

The previous prime is 10001012210017. The next prime is 10001012210039. The reversal of 10001012210021 is 12001221010001.

It is not a de Polignac number, because 10001012210021 - 2² = 10001012210017 is a prime.

It is a super-3 number, since 3×10001012210021³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001012209984 and 10001012210011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001012210041) 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, 2124461 + ... + 4951298.

It is an arithmetic number, because the mean of its divisors is an integer number (745502073600).

Almost surely, 2^{10001012210021} is an apocalyptic number.

It is an amenable number.

10001012210021 is a deficient number, since it is larger than the sum of its proper divisors (1927020967579).

10001012210021 is an equidigital number, since it uses as much as digits as its factorization.

10001012210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084568.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001012210021 its reverse (12001221010001), we get a palindrome (22002233220022).

The spelling of 10001012210021 in words is "ten trillion, one billion, twelve million, two hundred ten thousand, twenty-one".