22310101132002 has 128 divisors (see below), whose sum is σ = 51944224320000. Its totient is φ = 7088583591936.

The previous prime is 22310101131961. The next prime is 22310101132009. The reversal of 22310101132002 is 20023110101322.

22310101132002 is a `hidden beast` number, since 22 + 310 + 1 + 0 + 11 + 320 + 0 + 2 = 666.

It is a super-3 number, since 3×22310101132002³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22310101132009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90051274 + ... + 90298682.

It is an arithmetic number, because the mean of its divisors is an integer number (405814252500).

Almost surely, 2^{22310101132002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310101132002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25972112160000).

22310101132002 is an abundant number, since it is smaller than the sum of its proper divisors (29634123187998).

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

22310101132002 is a wasteful number, since it uses less digits than its factorization.

22310101132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248185 (or 248179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22310101132002 its reverse (20023110101322), we get a palindrome (42333211233324).

The spelling of 22310101132002 in words is "twenty-two trillion, three hundred ten billion, one hundred one million, one hundred thirty-two thousand, two".