101486181181225 has 27 divisors (see below), whose sum is σ = 126043489860901. Its totient is φ = 81059715224000.

The previous prime is 101486181181153. The next prime is 101486181181277. The reversal of 101486181181225 is 522181181684101.

The square root of 101486181181225 is 10074035.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13227747178009 + 88258434003216 = 3636997^2 + 9394596^2 .

It is not a de Polignac number, because 101486181181225 - 2⁷ = 101486181181097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43167238800 + ... + 43167241150.

Almost surely, 2^{101486181181225} is an apocalyptic number.

101486181181225 is the 10074035-th square number.

101486181181225 is the 5037018-th centered octagonal number.

It is an amenable number.

101486181181225 is a deficient number, since it is larger than the sum of its proper divisors (24557308679676).

101486181181225 is an frugal number, since it uses more digits than its factorization.

101486181181225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 49.

The spelling of 101486181181225 in words is "one hundred one trillion, four hundred eighty-six billion, one hundred eighty-one million, one hundred eighty-one thousand, two hundred twenty-five".