82111272103 has 24 divisors (see below), whose sum is σ = 99029374080. Its totient is φ = 67813018560.

The previous prime is 82111272101. The next prime is 82111272181. The reversal of 82111272103 is 30127211128.

It is not a de Polignac number, because 82111272103 - 2¹ = 82111272101 is a prime.

It is a super-2 number, since 2×82111272103² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82111272101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229825 + ... + 465877.

It is an arithmetic number, because the mean of its divisors is an integer number (4126223920).

Almost surely, 2^82111272103 is an apocalyptic number.

82111272103 is a deficient number, since it is larger than the sum of its proper divisors (16918101977).

82111272103 is a wasteful number, since it uses less digits than its factorization.

82111272103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236327 (or 236320 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 82111272103 in words is "eighty-two billion, one hundred eleven million, two hundred seventy-two thousand, one hundred three".