10122133000 has 64 divisors (see below), whose sum is σ = 27069494400. Its totient is φ = 3470443200.

The previous prime is 10122132983. The next prime is 10122133009. The reversal of 10122133000 is 33122101.

10122133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10122133009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716010 + ... + 730009.

It is an arithmetic number, because the mean of its divisors is an integer number (422960850).

Almost surely, 2^10122133000 is an apocalyptic number.

10122133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122133000 is an abundant number, since it is smaller than the sum of its proper divisors (16947361400).

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

10122133000 is a wasteful number, since it uses less digits than its factorization.

10122133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446047 (or 1446033 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10122133000 its reverse (33122101), we get a palindrome (10155255101).

The spelling of 10122133000 in words is "ten billion, one hundred twenty-two million, one hundred thirty-three thousand".