10100121330 has 128 divisors (see below), whose sum is σ = 27625328640. Its totient is φ = 2344446720.

The previous prime is 10100121271. The next prime is 10100121337. The reversal of 10100121330 is 3312100101.

10100121330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10100121337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628941 + ... + 644799.

It is an arithmetic number, because the mean of its divisors is an integer number (215822880).

Almost surely, 2^10100121330 is an apocalyptic number.

10100121330 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 10100121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812664320).

10100121330 is an abundant number, since it is smaller than the sum of its proper divisors (17525207310).

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

10100121330 is a wasteful number, since it uses less digits than its factorization.

10100121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10100121330 its reverse (3312100101), we get a palindrome (13412221431).

The spelling of 10100121330 in words is "ten billion, one hundred million, one hundred twenty-one thousand, three hundred thirty".