10120010032033 has 8 divisors (see below), whose sum is σ = 11050111607616. Its totient is φ = 9191591900400.

The previous prime is 10120010032021. The next prime is 10120010032043. The reversal of 10120010032033 is 33023001002101.

10120010032033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10120010032033 - 2¹³ = 10120010023841 is a prime.

It is a super-2 number, since 2×10120010032033² (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 = 10120010031998 and 10120010032016.

It is not an unprimeable number, because it can be changed into a prime (10120010032043) 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, 420848413 + ... + 420872458.

It is an arithmetic number, because the mean of its divisors is an integer number (1381263950952).

Almost surely, 2^{10120010032033} is an apocalyptic number.

It is an amenable number.

10120010032033 is a deficient number, since it is larger than the sum of its proper divisors (930101575583).

10120010032033 is a wasteful number, since it uses less digits than its factorization.

10120010032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841721975.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10120010032033 its reverse (33023001002101), we get a palindrome (43143011034134).

The spelling of 10120010032033 in words is "ten trillion, one hundred twenty billion, ten million, thirty-two thousand, thirty-three".