10033000101 has 6 divisors (see below), whose sum is σ = 14492111270. Its totient is φ = 6688666728.

The previous prime is 10033000099. The next prime is 10033000121. The reversal of 10033000101 is 10100033001.

It can be written as a sum of positive squares in only one way, i.e., 5234667201 + 4798332900 = 72351^2 + 69270^2 .

It is not a de Polignac number, because 10033000101 - 2¹ = 10033000099 is a prime.

It is a super-2 number, since 2×10033000101² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1114777789 = 10033000101 / (1 + 0 + 0 + 3 + 3 + 0 + 0 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033000121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557388886 + ... + 557388903.

Almost surely, 2^10033000101 is an apocalyptic number.

It is an amenable number.

10033000101 is a deficient number, since it is larger than the sum of its proper divisors (4459111169).

10033000101 is a wasteful number, since it uses less digits than its factorization.

10033000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114777795 (or 1114777792 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10033000101 its reverse (10100033001), we get a palindrome (20133033102).

The spelling of 10033000101 in words is "ten billion, thirty-three million, one hundred one", and thus it is an aban number.