101344003332 has 96 divisors (see below), whose sum is σ = 279003553920. Its totient is φ = 28226196480.

The previous prime is 101344003291. The next prime is 101344003333. The reversal of 101344003332 is 233300443101.

101344003332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101344003332² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101344003333) 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, 273094 + ... + 526562.

It is an arithmetic number, because the mean of its divisors is an integer number (2906287020).

Almost surely, 2^101344003332 is an apocalyptic number.

101344003332 is a gapful number since it is divisible by the number (12) 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 101344003332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139501776960).

101344003332 is an abundant number, since it is smaller than the sum of its proper divisors (177659550588).

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

101344003332 is a wasteful number, since it uses less digits than its factorization.

101344003332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253733 (or 253731 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 101344003332 its reverse (233300443101), we get a palindrome (334644446433).

The spelling of 101344003332 in words is "one hundred one billion, three hundred forty-four million, three thousand, three hundred thirty-two".