101283391521225 has 27 divisors (see below), whose sum is σ = 181410078310279. Its totient is φ = 54017728299600.

The previous prime is 101283391521197. The next prime is 101283391521227. The reversal of 101283391521225 is 522125193382101.

The square root of 101283391521225 is 10063965.

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

101283391521225 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 33 + 91 + 521 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36462020947641 + 64821370573584 = 6038379^2 + 8051172^2 .

It is not a de Polignac number, because 101283391521225 - 2⁹ = 101283391520713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101283391521227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150624010 + ... + 151294940.

Almost surely, 2^{101283391521225} is an apocalyptic number.

101283391521225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101283391521225 is the 10063965-th square number.

101283391521225 is the 5031983-rd centered octagonal number.

It is an amenable number.

101283391521225 is a deficient number, since it is larger than the sum of its proper divisors (80126686789054).

101283391521225 is an frugal number, since it uses more digits than its factorization.

101283391521225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341878 (or 670939 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 101283391521225 in words is "one hundred one trillion, two hundred eighty-three billion, three hundred ninety-one million, five hundred twenty-one thousand, two hundred twenty-five".