101332111441440 has 192 divisors, whose sum is σ = 360221362220160. Its totient is φ = 23718278922240.

The previous prime is 101332111441403. The next prime is 101332111441447. The reversal of 101332111441440 is 44144111233101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101332111441398 and 101332111441407.

It is not an unprimeable number, because it can be changed into a prime (101332111441447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330738049 + ... + 331044288.

It is an arithmetic number, because the mean of its divisors is an integer number (1876152928230).

Almost surely, 2^{101332111441440} is an apocalyptic number.

101332111441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101332111441440 is an abundant number, since it is smaller than the sum of its proper divisors (258889250778720).

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

101332111441440 is a wasteful number, since it uses less digits than its factorization.

101332111441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661782395 (or 661782387 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 101332111441440 its reverse (44144111233101), we get a palindrome (145476222674541).

The spelling of 101332111441440 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred eleven million, four hundred forty-one thousand, four hundred forty".