83101120345720 has 128 divisors (see below), whose sum is σ = 192648687004800. Its totient is φ = 32238068760576.

The previous prime is 83101120345697. The next prime is 83101120345721. The reversal of 83101120345720 is 2754302110138.

83101120345720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 83101120345720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83101120345721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2250885421 + ... + 2250922339.

It is an arithmetic number, because the mean of its divisors is an integer number (1505067867225).

Almost surely, 2^{83101120345720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83101120345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96324343502400).

83101120345720 is an abundant number, since it is smaller than the sum of its proper divisors (109547566659080).

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

83101120345720 is a wasteful number, since it uses less digits than its factorization.

83101120345720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41817 (or 41813 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 83101120345720 its reverse (2754302110138), we get a palindrome (85855422455858).

The spelling of 83101120345720 in words is "eighty-three trillion, one hundred one billion, one hundred twenty million, three hundred forty-five thousand, seven hundred twenty".