101442441132 has 72 divisors (see below), whose sum is σ = 257133698640. Its totient is φ = 33720698880.

The previous prime is 101442441127. The next prime is 101442441151. The reversal of 101442441132 is 231144244101.

101442441132 is a `hidden beast` number, since 101 + 4 + 424 + 4 + 1 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101442441096 and 101442441105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22840032 + ... + 22844472.

It is an arithmetic number, because the mean of its divisors is an integer number (3571301370).

Almost surely, 2^101442441132 is an apocalyptic number.

101442441132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101442441132 is an abundant number, since it is smaller than the sum of its proper divisors (155691257508).

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

101442441132 is a wasteful number, since it uses less digits than its factorization.

101442441132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101442441132 its reverse (231144244101), we get a palindrome (332586685233).

The spelling of 101442441132 in words is "one hundred one billion, four hundred forty-two million, four hundred forty-one thousand, one hundred thirty-two".