10020000211221 has 144 divisors (see below), whose sum is σ = 18462129868224. Its totient is φ = 4787665344000.

The previous prime is 10020000211189. The next prime is 10020000211259. The reversal of 10020000211221 is 12211200002001.

It is not a de Polignac number, because 10020000211221 - 2⁵ = 10020000211189 is a prime.

It is a super-2 number, since 2×10020000211221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020000211197 and 10020000211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020000211271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64898806 + ... + 65053016.

It is an arithmetic number, because the mean of its divisors is an integer number (128209235196).

Almost surely, 2^{10020000211221} is an apocalyptic number.

10020000211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020000211221 is a deficient number, since it is larger than the sum of its proper divisors (8442129657003).

10020000211221 is a wasteful number, since it uses less digits than its factorization.

10020000211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154544 (or 154526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020000211221 its reverse (12211200002001), we get a palindrome (22231200213222).

The spelling of 10020000211221 in words is "ten trillion, twenty billion, two hundred eleven thousand, two hundred twenty-one".