100322001120 has 192 divisors, whose sum is σ = 344953002240. Its totient is φ = 24305664000.

The previous prime is 100322001119. The next prime is 100322001127. The reversal of 100322001120 is 21100223001.

100322001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100322001096 and 100322001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322001127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10444320 + ... + 10453920.

It is an arithmetic number, because the mean of its divisors is an integer number (1796630220).

Almost surely, 2^100322001120 is an apocalyptic number.

100322001120 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 100322001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172476501120).

100322001120 is an abundant number, since it is smaller than the sum of its proper divisors (244631001120).

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

100322001120 is a wasteful number, since it uses less digits than its factorization.

100322001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100322001120 its reverse (21100223001), we get a palindrome (121422224121).

The spelling of 100322001120 in words is "one hundred billion, three hundred twenty-two million, one thousand, one hundred twenty".