100322232121020 has 192 divisors, whose sum is σ = 345750529904640. Its totient is φ = 21165377283072.

The previous prime is 100322232120989. The next prime is 100322232121091. The reversal of 100322232121020 is 20121232223001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76659294 + ... + 77956986.

It is an arithmetic number, because the mean of its divisors is an integer number (1800784009920).

Almost surely, 2^{100322232121020} is an apocalyptic number.

100322232121020 is a gapful number since it is divisible by the number (10) 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 100322232121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172875264952320).

100322232121020 is an abundant number, since it is smaller than the sum of its proper divisors (245428297783620).

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

100322232121020 is a wasteful number, since it uses less digits than its factorization.

100322232121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311884 (or 1311882 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100322232121020 its reverse (20121232223001), we get a palindrome (120443464344021).

The spelling of 100322232121020 in words is "one hundred trillion, three hundred twenty-two billion, two hundred thirty-two million, one hundred twenty-one thousand, twenty".