100023200012022 has 128 divisors (see below), whose sum is σ = 242706604428288. Its totient is φ = 26826641817600.

The previous prime is 100023200011991. The next prime is 100023200012053. The reversal of 100023200012022 is 220210002320001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100023200011991) and next prime (100023200012053).

It is a super-3 number, since 3×100023200012022³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100023200011992 and 100023200012010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748100197 + ... + 748233887.

It is an arithmetic number, because the mean of its divisors is an integer number (1896145347096).

Almost surely, 2^{100023200012022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100023200012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121353302214144).

100023200012022 is an abundant number, since it is smaller than the sum of its proper divisors (142683404416266).

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

100023200012022 is a wasteful number, since it uses less digits than its factorization.

100023200012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136454.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100023200012022 its reverse (220210002320001), we get a palindrome (320233202332023).

The spelling of 100023200012022 in words is "one hundred trillion, twenty-three billion, two hundred million, twelve thousand, twenty-two".