20221022102120 has 256 divisors, whose sum is σ = 55346922086400. Its totient is φ = 6490648350720.

The previous prime is 20221022102101. The next prime is 20221022102131. The reversal of 20221022102120 is 2120122012202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 63 ways as a sum of consecutive naturals, for example, 829432091 + ... + 829456469.

It is an arithmetic number, because the mean of its divisors is an integer number (216198914400).

Almost surely, 2^{20221022102120} is an apocalyptic number.

20221022102120 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 20221022102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673461043200).

20221022102120 is an abundant number, since it is smaller than the sum of its proper divisors (35125899984280).

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

20221022102120 is a wasteful number, since it uses less digits than its factorization.

20221022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25328 (or 25324 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20221022102120 its reverse (2120122012202), we get a palindrome (22341144114322).

The spelling of 20221022102120 in words is "twenty trillion, two hundred twenty-one billion, twenty-two million, one hundred two thousand, one hundred twenty".