10002000121011 has 96 divisors (see below), whose sum is σ = 15345941225472. Its totient is φ = 6270032583360.

The previous prime is 10002000121007. The next prime is 10002000121021. The reversal of 10002000121011 is 11012100020001.

It is a happy number.

It is not a de Polignac number, because 10002000121011 - 2² = 10002000121007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002000120984 and 10002000121002.

It is not an unprimeable number, because it can be changed into a prime (10002000121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572089876 + ... + 572107358.

It is an arithmetic number, because the mean of its divisors is an integer number (159853554432).

Almost surely, 2^{10002000121011} is an apocalyptic number.

10002000121011 is a deficient number, since it is larger than the sum of its proper divisors (5343941104461).

10002000121011 is a wasteful number, since it uses less digits than its factorization.

10002000121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002000121011 its reverse (11012100020001), we get a palindrome (21014100141012).

The spelling of 10002000121011 in words is "ten trillion, two billion, one hundred twenty-one thousand, eleven".