10002112112021 has 4 divisors (see below), whose sum is σ = 10016586949344. Its totient is φ = 9987637274700.

The previous prime is 10002112111967. The next prime is 10002112112039. The reversal of 10002112112021 is 12021121120001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002112112021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002112111987 and 10002112112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002112112621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7237417625 + ... + 7237419006.

It is an arithmetic number, because the mean of its divisors is an integer number (2504146737336).

Almost surely, 2^{10002112112021} is an apocalyptic number.

It is an amenable number.

10002112112021 is a deficient number, since it is larger than the sum of its proper divisors (14474837323).

10002112112021 is an equidigital number, since it uses as much as digits as its factorization.

10002112112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474837322.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10002112112021 its reverse (12021121120001), we get a palindrome (22023233232022).

The spelling of 10002112112021 in words is "ten trillion, two billion, one hundred twelve million, one hundred twelve thousand, twenty-one".