101625522401 has 8 divisors (see below), whose sum is σ = 109485113640. Its totient is φ = 93771965952.

The previous prime is 101625522389. The next prime is 101625522403. The reversal of 101625522401 is 104225526101.

It can be written as a sum of positive squares in 4 ways, for example, as 8630410000 + 92995112401 = 92900^2 + 304951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101625522401 - 2¹⁰ = 101625521377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101625522403) 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, 1473686 + ... + 1541103.

It is an arithmetic number, because the mean of its divisors is an integer number (13685639205).

Almost surely, 2^101625522401 is an apocalyptic number.

It is an amenable number.

101625522401 is a deficient number, since it is larger than the sum of its proper divisors (7859591239).

101625522401 is a wasteful number, since it uses less digits than its factorization.

101625522401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017395.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 101625522401 in words is "one hundred one billion, six hundred twenty-five million, five hundred twenty-two thousand, four hundred one".