83101120346088 has 48 divisors (see below), whose sum is σ = 242378267678820. Its totient is φ = 25569575490816.

The previous prime is 83101120346047. The next prime is 83101120346197. The reversal of 83101120346088 is 88064302110138.

83101120346088 is a `hidden beast` number, since 8 + 3 + 1 + 0 + 1 + 1 + 2 + 0 + 34 + 608 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70409585845764 + 12691534500324 = 8391042^2 + 3562518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44391623181 + ... + 44391625052.

Almost surely, 2^{83101120346088} is an apocalyptic number.

It is an amenable number.

83101120346088 is an abundant number, since it is smaller than the sum of its proper divisors (159277147332732).

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

83101120346088 is a wasteful number, since it uses less digits than its factorization.

83101120346088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88783248258 (or 88783248251 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 83101120346088 in words is "eighty-three trillion, one hundred one billion, one hundred twenty million, three hundred forty-six thousand, eighty-eight".