82191901121 has 16 divisors (see below), whose sum is σ = 97504145280. Its totient is φ = 68423950080.

The previous prime is 82191901117. The next prime is 82191901157. The reversal of 82191901121 is 12110919128.

It is a happy number.

It is not a de Polignac number, because 82191901121 - 2² = 82191901117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82191903121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5932661 + ... + 5946498.

It is an arithmetic number, because the mean of its divisors is an integer number (6094009080).

Almost surely, 2^82191901121 is an apocalyptic number.

It is an amenable number.

82191901121 is a deficient number, since it is larger than the sum of its proper divisors (15312244159).

82191901121 is a wasteful number, since it uses less digits than its factorization.

82191901121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879224.

The product of its (nonzero) digits is 2592, while the sum is 35.

The spelling of 82191901121 in words is "eighty-two billion, one hundred ninety-one million, nine hundred one thousand, one hundred twenty-one".