20101002102221 has 4 divisors (see below), whose sum is σ = 20101909495932. Its totient is φ = 20100094708512.

The previous prime is 20101002102187. The next prime is 20101002102227. The reversal of 20101002102221 is 12220120010102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1769203252996 + 18331798849225 = 1330114^2 + 4281565^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101002102221 - 2¹⁸ = 20101001840077 is a prime.

It is a super-2 number, since 2×20101002102221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101002102196 and 20101002102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101002102227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 453663626 + ... + 453707931.

It is an arithmetic number, because the mean of its divisors is an integer number (5025477373983).

Almost surely, 2^{20101002102221} is an apocalyptic number.

It is an amenable number.

20101002102221 is a deficient number, since it is larger than the sum of its proper divisors (907393711).

20101002102221 is an equidigital number, since it uses as much as digits as its factorization.

20101002102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907393710.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20101002102221 its reverse (12220120010102), we get a palindrome (32321122112323).

The spelling of 20101002102221 in words is "twenty trillion, one hundred one billion, two million, one hundred two thousand, two hundred twenty-one".