101042642320 has 80 divisors (see below), whose sum is σ = 237455426880. Its totient is φ = 39982643712.

The previous prime is 101042642269. The next prime is 101042642321. The reversal of 101042642320 is 23246240101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101042642321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6317854 + ... + 6333826.

It is an arithmetic number, because the mean of its divisors is an integer number (2968192836).

Almost surely, 2^101042642320 is an apocalyptic number.

101042642320 is a gapful number since it is divisible by the number (10) 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 101042642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118727713440).

101042642320 is an abundant number, since it is smaller than the sum of its proper divisors (136412784560).

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

101042642320 is a wasteful number, since it uses less digits than its factorization.

101042642320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16832 (or 16826 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 101042642320 its reverse (23246240101), we get a palindrome (124288882421).

The spelling of 101042642320 in words is "one hundred one billion, forty-two million, six hundred forty-two thousand, three hundred twenty".