82946512101 has 16 divisors (see below), whose sum is σ = 113446226880. Its totient is φ = 53875889280.

The previous prime is 82946512097. The next prime is 82946512111. The reversal of 82946512101 is 10121564928.

It is not a de Polignac number, because 82946512101 - 2² = 82946512097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82946512101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82946512111) 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, 365370 + ... + 547163.

It is an arithmetic number, because the mean of its divisors is an integer number (7090389180).

Almost surely, 2^82946512101 is an apocalyptic number.

It is an amenable number.

82946512101 is a deficient number, since it is larger than the sum of its proper divisors (30499714779).

82946512101 is a wasteful number, since it uses less digits than its factorization.

82946512101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913316.

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 82946512101 in words is "eighty-two billion, nine hundred forty-six million, five hundred twelve thousand, one hundred one".