20102102111221 has 16 divisors (see below), whose sum is σ = 22003601537008. Its totient is φ = 18251351308800.

The previous prime is 20102102111197. The next prime is 20102102111249. The reversal of 20102102111221 is 12211120120102.

It can be written as a sum of positive squares in 8 ways, for example, as 3156645123025 + 16945456988196 = 1776695^2 + 4116486^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102102111221 - 2¹⁹ = 20102101586933 is a prime.

It is a super-2 number, since 2×20102102111221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102102111195 and 20102102111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102102111921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90463111 + ... + 90685051.

It is an arithmetic number, because the mean of its divisors is an integer number (1375225096063).

Almost surely, 2^{20102102111221} is an apocalyptic number.

It is an amenable number.

20102102111221 is a deficient number, since it is larger than the sum of its proper divisors (1901499425787).

20102102111221 is a wasteful number, since it uses less digits than its factorization.

20102102111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336232.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20102102111221 its reverse (12211120120102), we get a palindrome (32313222231323).

The spelling of 20102102111221 in words is "twenty trillion, one hundred two billion, one hundred two million, one hundred eleven thousand, two hundred twenty-one".