10021112002111 has 32 divisors (see below), whose sum is σ = 11712373862400. Its totient is φ = 8570470896288.

The previous prime is 10021112002093. The next prime is 10021112002117. The reversal of 10021112002111 is 11120021112001.

It is a happy number.

It is not a de Polignac number, because 10021112002111 - 2⁹ = 10021112001599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021112002091 and 10021112002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021112002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390780456 + ... + 390806098.

It is an arithmetic number, because the mean of its divisors is an integer number (366011683200).

Almost surely, 2^{10021112002111} is an apocalyptic number.

10021112002111 is a deficient number, since it is larger than the sum of its proper divisors (1691261860289).

10021112002111 is an equidigital number, since it uses as much as digits as its factorization.

10021112002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28148 (or 28134 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10021112002111 its reverse (11120021112001), we get a palindrome (21141133114112).

The spelling of 10021112002111 in words is "ten trillion, twenty-one billion, one hundred twelve million, two thousand, one hundred eleven".