10002021012101 has 16 divisors (see below), whose sum is σ = 10624098785664. Its totient is φ = 9396391302144.

The previous prime is 10002021012083. The next prime is 10002021012169. The reversal of 10002021012101 is 10121012020001.

It is a cyclic number.

It is not a de Polignac number, because 10002021012101 - 2¹⁴ = 10002020995717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002021012001) 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, 9110660 + ... + 10149293.

It is an arithmetic number, because the mean of its divisors is an integer number (664006174104).

Almost surely, 2^{10002021012101} is an apocalyptic number.

It is an amenable number.

10002021012101 is a deficient number, since it is larger than the sum of its proper divisors (622077773563).

10002021012101 is a wasteful number, since it uses less digits than its factorization.

10002021012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19260380.

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

Adding to 10002021012101 its reverse (10121012020001), we get a palindrome (20123033032102).

The spelling of 10002021012101 in words is "ten trillion, two billion, twenty-one million, twelve thousand, one hundred one".