10100033013012 has 24 divisors (see below), whose sum is σ = 23775298954176. Its totient is φ = 3336884062848.

The previous prime is 10100033013001. The next prime is 10100033013067. The reversal of 10100033013012 is 21031033000101.

It is a super-3 number, since 3×10100033013012³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10100033012982 and 10100033013000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3724199608 + ... + 3724202319.

It is an arithmetic number, because the mean of its divisors is an integer number (990637456424).

Almost surely, 2^{10100033013012} is an apocalyptic number.

10100033013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100033013012 is an abundant number, since it is smaller than the sum of its proper divisors (13675265941164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100033013012 is a wasteful number, since it uses less digits than its factorization.

10100033013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448402047 (or 7448402045 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10100033013012 its reverse (21031033000101), we get a palindrome (31131066013113).

The spelling of 10100033013012 in words is "ten trillion, one hundred billion, thirty-three million, thirteen thousand, twelve".