20221220121102 has 288 divisors, whose sum is σ = 59283280982016. Its totient is φ = 4847241294720.

The previous prime is 20221220121071. The next prime is 20221220121133. The reversal of 20221220121102 is 20112102212202.

It is a happy number.

20221220121102 is a `hidden beast` number, since 2 + 0 + 221 + 220 + 121 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (20221220121071) and next prime (20221220121133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1483901613 + ... + 1483915239.

It is an arithmetic number, because the mean of its divisors is an integer number (205844725632).

Almost surely, 2^{20221220121102} is an apocalyptic number.

20221220121102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221220121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29641640491008).

20221220121102 is an abundant number, since it is smaller than the sum of its proper divisors (39062060860914).

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

20221220121102 is a wasteful number, since it uses less digits than its factorization.

20221220121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21164 (or 21150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20221220121102 its reverse (20112102212202), we get a palindrome (40333322333304).

Subtracting from 20221220121102 its reverse (20112102212202), we obtain a square (109117908900 = 330330²).

The spelling of 20221220121102 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, one hundred two".