10000121002112 has 32 divisors (see below), whose sum is σ = 19922454993420. Its totient is φ = 4999975435264.

The previous prime is 10000121002103. The next prime is 10000121002139. The reversal of 10000121002112 is 21120012100001.

It can be written as a sum of positive squares in 2 ways, for example, as 9982414974016 + 17706028096 = 3159496^2 + 133064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10000121002112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000121002093 and 10000121002102.

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 3 ways as a sum of consecutive naturals, for example, 7255778 + ... + 8523294.

Almost surely, 2^{10000121002112} is an apocalyptic number.

It is an amenable number.

10000121002112 is a deficient number, since it is larger than the sum of its proper divisors (9922333991308).

10000121002112 is an equidigital number, since it uses as much as digits as its factorization.

10000121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329168 (or 1329156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000121002112 its reverse (21120012100001), we get a palindrome (31120133102113).

The spelling of 10000121002112 in words is "ten trillion, one hundred twenty-one million, two thousand, one hundred twelve".