84101122110148 has 192 divisors, whose sum is σ = 179045433262080. Its totient is φ = 34041776371200.

The previous prime is 84101122110097. The next prime is 84101122110151.

84101122110148 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10361104986 + ... + 10361113102.

It is an arithmetic number, because the mean of its divisors is an integer number (932528298240).

Almost surely, 2^{84101122110148} is an apocalyptic number.

It is an amenable number.

84101122110148 is an abundant number, since it is smaller than the sum of its proper divisors (94944311151932).

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

84101122110148 is a wasteful number, since it uses less digits than its factorization.

84101122110148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 34.

The spelling of 84101122110148 in words is "eighty-four trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred forty-eight".