20221102212100 has 72 divisors (see below), whose sum is σ = 44309061538560. Its totient is φ = 8009324359680.

The previous prime is 20221102212043. The next prime is 20221102212133. The reversal of 20221102212100 is 121220112202.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 156835461 + ... + 156964339.

It is an arithmetic number, because the mean of its divisors is an integer number (615403632480).

Almost surely, 2^{20221102212100} is an apocalyptic number.

20221102212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154530769280).

20221102212100 is an abundant number, since it is smaller than the sum of its proper divisors (24087959326460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221102212100 is a wasteful number, since it uses less digits than its factorization.

20221102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144229 (or 144222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20221102212100 its reverse (121220112202), we get a palindrome (20342322324302).

It can be divided in two parts, 20221 and 102212100, that added together give a square (102232321 = 10111²).

The spelling of 20221102212100 in words is "twenty trillion, two hundred twenty-one billion, one hundred two million, two hundred twelve thousand, one hundred".