10120020332033 has 8 divisors (see below), whose sum is σ = 10723628559240. Its totient is φ = 9517335761920.

The previous prime is 10120020332003. The next prime is 10120020332099. The reversal of 10120020332033 is 33023302002101.

It can be written as a sum of positive squares in 4 ways, for example, as 7126507880704 + 2993512451329 = 2669552^2 + 1730177^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120020332033 - 2¹⁶ = 10120020266497 is a prime.

It is a super-2 number, since 2×10120020332033² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120020331996 and 10120020332014.

It is not an unprimeable number, because it can be changed into a prime (10120020332003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230891708 + ... + 230935533.

It is an arithmetic number, because the mean of its divisors is an integer number (1340453569905).

Almost surely, 2^{10120020332033} is an apocalyptic number.

It is an amenable number.

10120020332033 is a deficient number, since it is larger than the sum of its proper divisors (603608227207).

10120020332033 is a wasteful number, since it uses less digits than its factorization.

10120020332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461828547.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10120020332033 its reverse (33023302002101), we get a palindrome (43143322334134).

The spelling of 10120020332033 in words is "ten trillion, one hundred twenty billion, twenty million, three hundred thirty-two thousand, thirty-three".