10002121000000 has 98 divisors (see below), whose sum is σ = 24809633487314. Its totient is φ = 4000848000000.

The previous prime is 10002120999989. The next prime is 10002121000033. The reversal of 10002121000000 is 12120001.

It can be written as a sum of positive squares in 7 ways, for example, as 9968214933504 + 33906066496 = 3157248^2 + 184136^2 .

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 4001061 + ... + 6001060.

Almost surely, 2^{10002121000000} is an apocalyptic number.

10002121000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002121000000 is an abundant number, since it is smaller than the sum of its proper divisors (14807512487314).

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

10002121000000 is an frugal number, since it uses more digits than its factorization.

10002121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002163 (or 10002128 counting only the distinct ones).

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

Adding to 10002121000000 its reverse (12120001), we get a palindrome (10002133120001).

The spelling of 10002121000000 in words is "ten trillion, two billion, one hundred twenty-one million", and thus it is an aban number.