82101509112 has 128 divisors (see below), whose sum is σ = 254432586240. Its totient is φ = 21539205120.

The previous prime is 82101509089. The next prime is 82101509117. The reversal of 82101509112 is 21190510128.

It is a self number, because there is not a number n which added to its sum of digits gives 82101509112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82101509117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233478 + ... + 467669.

It is an arithmetic number, because the mean of its divisors is an integer number (1987754580).

Almost surely, 2^82101509112 is an apocalyptic number.

82101509112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

82101509112 is an abundant number, since it is smaller than the sum of its proper divisors (172331077128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82101509112 is a wasteful number, since it uses less digits than its factorization.

82101509112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701221 (or 701217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The spelling of 82101509112 in words is "eighty-two billion, one hundred one million, five hundred nine thousand, one hundred twelve".