101551325440 has 72 divisors (see below), whose sum is σ = 243307151640. Its totient is φ = 40610512896.

The previous prime is 101551325399. The next prime is 101551325441. The reversal of 101551325440 is 44523155101.

It can be written as a sum of positive squares in 4 ways, for example, as 4715843584 + 96835481856 = 68672^2 + 311184^2 .

It is not an unprimeable number, because it can be changed into a prime (101551325441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7336446 + ... + 7350274.

It is an arithmetic number, because the mean of its divisors is an integer number (3379265995).

Almost surely, 2^101551325440 is an apocalyptic number.

101551325440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101551325440 is an abundant number, since it is smaller than the sum of its proper divisors (141755826200).

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

101551325440 is an equidigital number, since it uses as much as digits as its factorization.

101551325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19587 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 101551325440 in words is "one hundred one billion, five hundred fifty-one million, three hundred twenty-five thousand, four hundred forty".