101021125 has 8 divisors (see below), whose sum is σ = 126074520. Its totient is φ = 80816800.

The previous prime is 101021117. The next prime is 101021131. The reversal of 101021125 is 521120101.

It can be written as a sum of positive squares in 4 ways, for example, as 14884164 + 86136961 = 3858^2 + 9281^2 .

It is not a de Polignac number, because 101021125 - 2³ = 101021117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403960 + ... + 404209.

It is an arithmetic number, because the mean of its divisors is an integer number (15759315).

Almost surely, 2^101021125 is an apocalyptic number.

It is an amenable number.

101021125 is a deficient number, since it is larger than the sum of its proper divisors (25053395).

101021125 is an frugal number, since it uses more digits than its factorization.

101021125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808184 (or 808174 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 101021125 is about 10050.9265742020. The cubic root of 101021125 is about 465.7334169413.

Adding to 101021125 its reverse (521120101), we get a palindrome (622141226).

The spelling of 101021125 in words is "one hundred one million, twenty-one thousand, one hundred twenty-five".