101760701111442 has 48 divisors (see below), whose sum is σ = 228087577837080. Its totient is φ = 32750104128000.

The previous prime is 101760701111441. The next prime is 101760701111477. The reversal of 101760701111442 is 244111107067101.

It is a happy number.

101760701111442 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 607 + 0 + 1 + 1 + 1 + 1 + 4 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96105298695561 + 5655402415881 = 9803331^2 + 2378109^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101760701111397 and 101760701111406.

It is not an unprimeable number, because it can be changed into a prime (101760701111441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36284842 + ... + 38988602.

Almost surely, 2^{101760701111442} is an apocalyptic number.

101760701111442 is an abundant number, since it is smaller than the sum of its proper divisors (126326876725638).

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

101760701111442 is a wasteful number, since it uses less digits than its factorization.

101760701111442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775899 (or 2775896 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

Adding to 101760701111442 its reverse (244111107067101), we get a palindrome (345871808178543).

The spelling of 101760701111442 in words is "one hundred one trillion, seven hundred sixty billion, seven hundred one million, one hundred eleven thousand, four hundred forty-two".