100002100033 has 16 divisors (see below), whose sum is σ = 113507438400. Its totient is φ = 87268713280.

The previous prime is 100002099971. The next prime is 100002100043. The reversal of 100002100033 is 330001200001.

It is a cyclic number.

It is not a de Polignac number, because 100002100033 - 2¹³ = 100002091841 is a prime.

It is a super-2 number, since 2×100002100033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100002099992 and 100002100019.

It is not an unprimeable number, because it can be changed into a prime (100002100043) 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, 850843 + ... + 961216.

It is an arithmetic number, because the mean of its divisors is an integer number (7094214900).

Almost surely, 2^100002100033 is an apocalyptic number.

It is an amenable number.

100002100033 is a deficient number, since it is larger than the sum of its proper divisors (13505338367).

100002100033 is a wasteful number, since it uses less digits than its factorization.

100002100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812272.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100002100033 its reverse (330001200001), we get a palindrome (430003300034).

The spelling of 100002100033 in words is "one hundred billion, two million, one hundred thousand, thirty-three".