101351125 has 8 divisors (see below), whose sum is σ = 126486360. Its totient is φ = 81080800.

The previous prime is 101351077. The next prime is 101351137. The reversal of 101351125 is 521153101.

It can be written as a sum of positive squares in 4 ways, for example, as 30404196 + 70946929 = 5514^2 + 8423^2 .

It is not a de Polignac number, because 101351125 - 2¹⁹ = 100826837 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405280 + ... + 405529.

It is an arithmetic number, because the mean of its divisors is an integer number (15810795).

Almost surely, 2^101351125 is an apocalyptic number.

It is an amenable number.

101351125 is a deficient number, since it is larger than the sum of its proper divisors (25135235).

101351125 is an frugal number, since it uses more digits than its factorization.

101351125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810824 (or 810814 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 101351125 is about 10067.3295863402. The cubic root of 101351125 is about 466.2399940831.

The spelling of 101351125 in words is "one hundred one million, three hundred fifty-one thousand, one hundred twenty-five".