2022133010100 has 288 divisors, whose sum is σ = 6906336632832. Its totient is φ = 447024960000.

The previous prime is 2022133010087. The next prime is 2022133010119. The reversal of 2022133010100 is 10103312202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022133010100.

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 95 ways as a sum of consecutive naturals, for example, 121142755 + ... + 121159445.

Almost surely, 2^{2022133010100} is an apocalyptic number.

2022133010100 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 2022133010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453168316416).

2022133010100 is an abundant number, since it is smaller than the sum of its proper divisors (4884203622732).

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

2022133010100 is a wasteful number, since it uses less digits than its factorization.

2022133010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18607 (or 18600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2022133010100 its reverse (10103312202), we get a palindrome (2032236322302).

The spelling of 2022133010100 in words is "two trillion, twenty-two billion, one hundred thirty-three million, ten thousand, one hundred".