100100022023232 has 336 divisors, whose sum is σ = 357845355838464. Its totient is φ = 25990657920000.

The previous prime is 100100022023227. The next prime is 100100022023233. The reversal of 100100022023232 is 232320220001001.

It is a tau number, because it is divible by the number of its divisors (336).

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 (100100022023233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123382107 + ... + 124190757.

Almost surely, 2^{100100022023232} is an apocalyptic number.

100100022023232 is a gapful number since it is divisible by the number (12) 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 100100022023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178922677919232).

100100022023232 is an abundant number, since it is smaller than the sum of its proper divisors (257745333815232).

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

100100022023232 is a wasteful number, since it uses less digits than its factorization.

100100022023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811478 (or 811465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100100022023232 its reverse (232320220001001), we get a palindrome (332420242024233).

The spelling of 100100022023232 in words is "one hundred trillion, one hundred billion, twenty-two million, twenty-three thousand, two hundred thirty-two".