2022021010100 has 216 divisors, whose sum is σ = 5506751529720. Its totient is φ = 638776212480.

The previous prime is 2022021010099. The next prime is 2022021010153. The reversal of 2022021010100 is 10101202202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 952376906404 + 1069644103696 = 975898^2 + 1034236^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35452406 + ... + 35509394.

It is an arithmetic number, because the mean of its divisors is an integer number (25494220045).

Almost surely, 2^{2022021010100} is an apocalyptic number.

2022021010100 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 2022021010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753375764860).

2022021010100 is an abundant number, since it is smaller than the sum of its proper divisors (3484730519620).

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

2022021010100 is a wasteful number, since it uses less digits than its factorization.

2022021010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57587 (or 57573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2022021010100 its reverse (10101202202), we get a palindrome (2032122212302).

The spelling of 2022021010100 in words is "two trillion, twenty-two billion, twenty-one million, ten thousand, one hundred".