120042033101 has 16 divisors (see below), whose sum is σ = 125660108784. Its totient is φ = 114570215424.

The previous prime is 120042033077. The next prime is 120042033191. The reversal of 120042033101 is 101330240021.

It can be written as a sum of positive squares in 8 ways, for example, as 26022529225 + 94019503876 = 161315^2 + 306626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120042033101 is a prime.

It is a super-2 number, since 2×120042033101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120042033101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120042033191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257561 + ... + 553553.

It is an arithmetic number, because the mean of its divisors is an integer number (7853756799).

Almost surely, 2^120042033101 is an apocalyptic number.

It is an amenable number.

120042033101 is a deficient number, since it is larger than the sum of its proper divisors (5618075683).

120042033101 is a wasteful number, since it uses less digits than its factorization.

120042033101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296240.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120042033101 its reverse (101330240021), we get a palindrome (221372273122).

The spelling of 120042033101 in words is "one hundred twenty billion, forty-two million, thirty-three thousand, one hundred one".