100023011221032 has 192 divisors, whose sum is σ = 277723667295360. Its totient is φ = 32503633344000.

The previous prime is 100023011220991. The next prime is 100023011221121. The reversal of 100023011221032 is 230122110320001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100023011220996 and 100023011221014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5080653093 + ... + 5080672779.

It is an arithmetic number, because the mean of its divisors is an integer number (1446477433830).

Almost surely, 2^{100023011221032} is an apocalyptic number.

100023011221032 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 100023011221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138861833647680).

100023011221032 is an abundant number, since it is smaller than the sum of its proper divisors (177700656074328).

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

100023011221032 is a wasteful number, since it uses less digits than its factorization.

100023011221032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784 (or 22777 counting only the distinct ones).

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

Adding to 100023011221032 its reverse (230122110320001), we get a palindrome (330145121541033).

The spelling of 100023011221032 in words is "one hundred trillion, twenty-three billion, eleven million, two hundred twenty-one thousand, thirty-two".