71101689201 has 9 divisors (see below), whose sum is σ = 102703595449. Its totient is φ = 47400592836.

The previous prime is 71101689167. The next prime is 71101689203. The reversal of 71101689201 is 10298610117.

The square root of 71101689201 is 266649.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 71101689201 - 2¹³ = 71101681009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71101689203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 755506 + ... + 844388.

Almost surely, 2^71101689201 is an apocalyptic number.

71101689201 is the 266649-th square number.

71101689201 is the 133325-th centered octagonal number.

It is an amenable number.

71101689201 is a deficient number, since it is larger than the sum of its proper divisors (31601906248).

71101689201 is an frugal number, since it uses more digits than its factorization.

71101689201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177772 (or 88886 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

Multiplying 71101689201 by its sum of digits (36), we get a square (2559660811236 = 1599894²).

The spelling of 71101689201 in words is "seventy-one billion, one hundred one million, six hundred eighty-nine thousand, two hundred one".