100320122000 has 160 divisors (see below), whose sum is σ = 277712058624. Its totient is φ = 34335360000.

The previous prime is 100320121997. The next prime is 100320122003. The reversal of 100320122000 is 221023001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100320121997) and next prime (100320122003).

It is not an unprimeable number, because it can be changed into a prime (100320122003) 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, 8408039 + ... + 8419961.

Almost surely, 2^100320122000 is an apocalyptic number.

100320122000 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 100320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138856029312).

100320122000 is an abundant number, since it is smaller than the sum of its proper divisors (177391936624).

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

100320122000 is a wasteful number, since it uses less digits than its factorization.

100320122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100320122000 its reverse (221023001), we get a palindrome (100541145001).

It can be divided in two parts, 1003201 and 22000, that added together give a palindrome (1025201).

The spelling of 100320122000 in words is "one hundred billion, three hundred twenty million, one hundred twenty-two thousand".