22101134545312 has 192 divisors, whose sum is σ = 47351784816000. Its totient is φ = 10121360375808.

The previous prime is 22101134545309. The next prime is 22101134545339. The reversal of 22101134545312 is 21354543110122.

It is a super-4 number, since 4×22101134545312⁴ (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924373614 + ... + 924397522.

It is an arithmetic number, because the mean of its divisors is an integer number (246623879250).

Almost surely, 2^{22101134545312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101134545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675892408000).

22101134545312 is an abundant number, since it is smaller than the sum of its proper divisors (25250650270688).

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

22101134545312 is a wasteful number, since it uses less digits than its factorization.

22101134545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24423 (or 24415 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 22101134545312 its reverse (21354543110122), we get a palindrome (43455677655434).

The spelling of 22101134545312 in words is "twenty-two trillion, one hundred one billion, one hundred thirty-four million, five hundred forty-five thousand, three hundred twelve".