101525695392016 has 405 divisors, whose sum is σ = 239922620916741. Its totient is φ = 41496981926400.

The previous prime is 101525695391993. The next prime is 101525695392019. The reversal of 101525695392016 is 610293596525101.

It is a happy number.

The square root of 101525695392016 is 10075996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4892076934416 + 96633618457600 = 2211804^2 + 9830240^2 .

It is not an unprimeable number, because it can be changed into a prime (101525695392019) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 775005308271 + ... + 775005308401.

Almost surely, 2^{101525695392016} is an apocalyptic number.

101525695392016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101525695392016 is the 10075996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101525695392016

101525695392016 is an abundant number, since it is smaller than the sum of its proper divisors (138396925524725).

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

101525695392016 is an frugal number, since it uses more digits than its factorization.

101525695392016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 55.

The spelling of 101525695392016 in words is "one hundred one trillion, five hundred twenty-five billion, six hundred ninety-five million, three hundred ninety-two thousand, sixteen".