10102400033 has 16 divisors (see below), whose sum is σ = 11073488832. Its totient is φ = 9140184000.

The previous prime is 10102399981. The next prime is 10102400047. The reversal of 10102400033 is 33000420101.

It is a cyclic number.

It is not a de Polignac number, because 10102400033 - 2¹² = 10102395937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102399990 and 10102400017.

It is not an unprimeable number, because it can be changed into a prime (10102400083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031178 + ... + 3034508.

It is an arithmetic number, because the mean of its divisors is an integer number (692093052).

Almost surely, 2^10102400033 is an apocalyptic number.

It is an amenable number.

10102400033 is a deficient number, since it is larger than the sum of its proper divisors (971088799).

10102400033 is a wasteful number, since it uses less digits than its factorization.

10102400033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10102400033 its reverse (33000420101), we get a palindrome (43102820134).

The spelling of 10102400033 in words is "ten billion, one hundred two million, four hundred thousand, thirty-three".