101110242322432 has 96 divisors (see below), whose sum is σ = 232011435015360. Its totient is φ = 43153154703360.

The previous prime is 101110242322423. The next prime is 101110242322433. The reversal of 101110242322432 is 234223242011101.

It is a super-2 number, since 2×101110242322432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 101110242322432.

It is not an unprimeable number, because it can be changed into a prime (101110242322433) 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 7 ways as a sum of consecutive naturals, for example, 11177578 + ... + 18087529.

It is an arithmetic number, because the mean of its divisors is an integer number (2416785781410).

Almost surely, 2^{101110242322432} is an apocalyptic number.

It is an amenable number.

101110242322432 is an abundant number, since it is smaller than the sum of its proper divisors (130901192692928).

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

101110242322432 is an equidigital number, since it uses as much as digits as its factorization.

101110242322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29265377 (or 29265357 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101110242322432 its reverse (234223242011101), we get a palindrome (335333484333533).

The spelling of 101110242322432 in words is "one hundred one trillion, one hundred ten billion, two hundred forty-two million, three hundred twenty-two thousand, four hundred thirty-two".