71111220101 has 6 divisors (see below), whose sum is σ = 72656418630. Its totient is φ = 69598213256.

The previous prime is 71111220053. The next prime is 71111220107. The reversal of 71111220101 is 10102211117.

It can be written as a sum of positive squares in only one way, i.e., 38504250625 + 32606969476 = 196225^2 + 180574^2 .

It is not a de Polignac number, because 71111220101 - 2²² = 71107025797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71111220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71111220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16093586 + ... + 16098003.

It is an arithmetic number, because the mean of its divisors is an integer number (12109403105).

Almost surely, 2^71111220101 is an apocalyptic number.

It is an amenable number.

71111220101 is a deficient number, since it is larger than the sum of its proper divisors (1545198529).

71111220101 is an equidigital number, since it uses as much as digits as its factorization.

71111220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32191683 (or 32191636 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 71111220101 its reverse (10102211117), we get a palindrome (81213431218).

The spelling of 71111220101 in words is "seventy-one billion, one hundred eleven million, two hundred twenty thousand, one hundred one".