10002121000 has 32 divisors (see below), whose sum is σ = 23404965480. Its totient is φ = 4000848000.

The previous prime is 10002120983. The next prime is 10002121007. The reversal of 10002121000 is 12120001.

It can be written as a sum of positive squares in 4 ways, for example, as 3796777924 + 6205343076 = 61618^2 + 78774^2 .

It is not an unprimeable number, because it can be changed into a prime (10002121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5000061 + ... + 5002060.

Almost surely, 2^10002121000 is an apocalyptic number.

10002121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002121000 is an abundant number, since it is smaller than the sum of its proper divisors (13402844480).

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

10002121000 is a wasteful number, since it uses less digits than its factorization.

10002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002142 (or 10002128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002121000 its reverse (12120001), we get a palindrome (10014241001).

Subtracting from 10002121000 its reverse (12120001), we obtain a palindrome (9990000999).

The spelling of 10002121000 in words is "ten billion, two million, one hundred twenty-one thousand".