100101000321330 has 128 divisors (see below), whose sum is σ = 248870111109120. Its totient is φ = 25737532665600.

The previous prime is 100101000321307. The next prime is 100101000321341. The reversal of 100101000321330 is 33123000101001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2113997155 + ... + 2114044505.

It is an arithmetic number, because the mean of its divisors is an integer number (1944297743040).

Almost surely, 2^{100101000321330} is an apocalyptic number.

100101000321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101000321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124435055554560).

100101000321330 is an abundant number, since it is smaller than the sum of its proper divisors (148769110787790).

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

100101000321330 is a wasteful number, since it uses less digits than its factorization.

100101000321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50696.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100101000321330 its reverse (33123000101001), we get a palindrome (133224000422331).

The spelling of 100101000321330 in words is "one hundred trillion, one hundred one billion, three hundred twenty-one thousand, three hundred thirty".