22121101433100 has 288 divisors, whose sum is σ = 66846861582592. Its totient is φ = 5642421120000.

The previous prime is 22121101433083. The next prime is 22121101433149. The reversal of 22121101433100 is 133410112122.

It is a super-2 number, since 2×22121101433100² (a number of 27 digits) contains 22 as substring.

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, 1442892435 + ... + 1442907765.

Almost surely, 2^{22121101433100} is an apocalyptic number.

22121101433100 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 22121101433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33423430791296).

22121101433100 is an abundant number, since it is smaller than the sum of its proper divisors (44725760149492).

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

22121101433100 is a wasteful number, since it uses less digits than its factorization.

22121101433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17577 (or 17570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 22121101433100 its reverse (133410112122), we get a palindrome (22254511545222).

The spelling of 22121101433100 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, four hundred thirty-three thousand, one hundred".