10111002211111 has 16 divisors (see below), whose sum is σ = 10481954716800. Its totient is φ = 9741553704288.

The previous prime is 10111002211103. The next prime is 10111002211127. The reversal of 10111002211111 is 11111220011101.

10111002211111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10111002211111 - 2³ = 10111002211103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111002211091 and 10111002211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111002218111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32421120 + ... + 32731498.

It is an arithmetic number, because the mean of its divisors is an integer number (655122169800).

Almost surely, 2^{10111002211111} is an apocalyptic number.

10111002211111 is a deficient number, since it is larger than the sum of its proper divisors (370952505689).

10111002211111 is a wasteful number, since it uses less digits than its factorization.

10111002211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312798.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10111002211111 its reverse (11111220011101), we get a palindrome (21222222222212).

The spelling of 10111002211111 in words is "ten trillion, one hundred eleven billion, two million, two hundred eleven thousand, one hundred eleven".