120110010010993 has 16 divisors (see below), whose sum is σ = 129589243123536. Its totient is φ = 110899466496000.

The previous prime is 120110010010951. The next prime is 120110010010999. The reversal of 120110010010993 is 399010010011021.

It can be written as a sum of positive squares in 8 ways, for example, as 5342348067904 + 114767661943089 = 2311352^2 + 10712967^2 .

It is a cyclic number.

It is not a de Polignac number, because 120110010010993 - 2⁴⁵ = 84925637922161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120110010010999) 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, 704755 + ... + 15515047.

It is an arithmetic number, because the mean of its divisors is an integer number (8099327695221).

Almost surely, 2^{120110010010993} is an apocalyptic number.

It is an amenable number.

120110010010993 is a deficient number, since it is larger than the sum of its proper divisors (9479233112543).

120110010010993 is a wasteful number, since it uses less digits than its factorization.

120110010010993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14819364.

The product of its (nonzero) digits is 486, while the sum is 28.

Adding to 120110010010993 its sum of digits (28), we get a palindrome (120110010011021).

The spelling of 120110010010993 in words is "one hundred twenty trillion, one hundred ten billion, ten million, ten thousand, nine hundred ninety-three".