101770467778225 has 9 divisors (see below), whose sum is σ = 126195442591467. Its totient is φ = 81416333870040.

The previous prime is 101770467778223. The next prime is 101770467778247. The reversal of 101770467778225 is 522877764077101.

The square root of 101770467778225 is 10088135.

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., 36637368400161 + 65133099378064 = 6052881^2 + 8070508^2 .

It is not a de Polignac number, because 101770467778225 - 2¹ = 101770467778223 is a prime.

It is a super-2 number, since 2×101770467778225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101770467778223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49431862 + ... + 51449488.

Almost surely, 2^{101770467778225} is an apocalyptic number.

101770467778225 is the 10088135-th square number.

101770467778225 is the 5044068-th centered octagonal number.

It is an amenable number.

101770467778225 is a deficient number, since it is larger than the sum of its proper divisors (24424974813242).

101770467778225 is an frugal number, since it uses more digits than its factorization.

101770467778225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035264 (or 2017632 counting only the distinct ones).

The product of its (nonzero) digits is 64538880, while the sum is 64.

The spelling of 101770467778225 in words is "one hundred one trillion, seven hundred seventy billion, four hundred sixty-seven million, seven hundred seventy-eight thousand, two hundred twenty-five".