101010841672225 has 9 divisors (see below), whose sum is σ = 125253505986163. Its totient is φ = 80808633136120.

The previous prime is 101010841672207. The next prime is 101010841672249. The reversal of 101010841672225 is 522276148010101.

The square root of 101010841672225 is 10050415.

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., 36363903002001 + 64646938670224 = 6030249^2 + 8040332^2 .

It is not a de Polignac number, because 101010841672225 - 2⁴⁵ = 65826469583393 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49247034 + ... + 51257116.

Almost surely, 2^{101010841672225} is an apocalyptic number.

101010841672225 is the 10050415-th square number.

101010841672225 is the 5025208-th centered octagonal number.

It is an amenable number.

101010841672225 is a deficient number, since it is larger than the sum of its proper divisors (24242664313938).

101010841672225 is an frugal number, since it uses more digits than its factorization.

101010841672225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020176 (or 2010088 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

Adding to 101010841672225 its reverse (522276148010101), we get a palindrome (623286989682326).

The spelling of 101010841672225 in words is "one hundred one trillion, ten billion, eight hundred forty-one million, six hundred seventy-two thousand, two hundred twenty-five".