10202133121000 has 32 divisors (see below), whose sum is σ = 23872991505480. Its totient is φ = 4080853248000.

The previous prime is 10202133120937. The next prime is 10202133121001. The reversal of 10202133121000 is 12133120201.

10202133121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2214602327716 + 7987530793284 = 1488154^2 + 2826222^2 .

It is not an unprimeable number, because it can be changed into a prime (10202133121001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5101065561 + ... + 5101067560.

Almost surely, 2^{10202133121000} is an apocalyptic number.

10202133121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202133121000 is an abundant number, since it is smaller than the sum of its proper divisors (13670858384480).

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

10202133121000 is a wasteful number, since it uses less digits than its factorization.

10202133121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202133142 (or 10202133128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10202133121000 its reverse (12133120201), we get a palindrome (10214266241201).

The spelling of 10202133121000 in words is "ten trillion, two hundred two billion, one hundred thirty-three million, one hundred twenty-one thousand".