10111002012111 has 256 divisors, whose sum is σ = 18947174400000. Its totient is φ = 4723803463680.

The previous prime is 10111002012061. The next prime is 10111002012119. The reversal of 10111002012111 is 11121020011101.

It is not a de Polignac number, because 10111002012111 - 2¹¹ = 10111002010063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111002012119) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2840965350 + ... + 2840968908.

It is an arithmetic number, because the mean of its divisors is an integer number (74012400000).

Almost surely, 2^{10111002012111} is an apocalyptic number.

10111002012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111002012111 is a deficient number, since it is larger than the sum of its proper divisors (8836172387889).

10111002012111 is a wasteful number, since it uses less digits than its factorization.

10111002012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4085 counting only the distinct ones).

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

Adding to 10111002012111 its reverse (11121020011101), we get a palindrome (21232022023212).

The spelling of 10111002012111 in words is "ten trillion, one hundred eleven billion, two million, twelve thousand, one hundred eleven".