101272726752 has 48 divisors (see below), whose sum is σ = 267753467520. Its totient is φ = 33514710912.

The previous prime is 101272726691. The next prime is 101272726769. The reversal of 101272726752 is 257627272101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3781348 + ... + 3808035.

It is an arithmetic number, because the mean of its divisors is an integer number (5578197240).

Almost surely, 2^101272726752 is an apocalyptic number.

101272726752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101272726752 is an abundant number, since it is smaller than the sum of its proper divisors (166480740768).

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

101272726752 is a wasteful number, since it uses less digits than its factorization.

101272726752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589535 (or 7589527 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

Adding to 101272726752 its reverse (257627272101), we get a palindrome (358899998853).

The spelling of 101272726752 in words is "one hundred one billion, two hundred seventy-two million, seven hundred twenty-six thousand, seven hundred fifty-two".