10002111102111 has 16 divisors (see below), whose sum is σ = 13668365403648. Its totient is φ = 6502975214400.

The previous prime is 10002111102083. The next prime is 10002111102127. The reversal of 10002111102111 is 11120111120001.

It is not a de Polignac number, because 10002111102111 - 2⁹ = 10002111101599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002111102211) 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 15 ways as a sum of consecutive naturals, for example, 126182725 + ... + 126261966.

It is an arithmetic number, because the mean of its divisors is an integer number (854272837728).

Almost surely, 2^{10002111102111} is an apocalyptic number.

10002111102111 is a deficient number, since it is larger than the sum of its proper divisors (3666254301537).

10002111102111 is a wasteful number, since it uses less digits than its factorization.

10002111102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252445022.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10002111102111 its reverse (11120111120001), we get a palindrome (21122222222112).

The spelling of 10002111102111 in words is "ten trillion, two billion, one hundred eleven million, one hundred two thousand, one hundred eleven".