10111210120011 has 768 divisors, whose sum is σ = 20682836213760. Its totient is φ = 4299982848000.

The previous prime is 10111210119979. The next prime is 10111210120103. The reversal of 10111210120011 is 11002101211101.

It is not a de Polignac number, because 10111210120011 - 2⁵ = 10111210119979 is a prime.

It is a super-2 number, since 2×10111210120011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111210120211) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 72742518780 + ... + 72742518918.

It is an arithmetic number, because the mean of its divisors is an integer number (26930776320).

Almost surely, 2^{10111210120011} is an apocalyptic number.

10111210120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111210120011 is an abundant number, since it is smaller than the sum of its proper divisors (10571626093749).

10111210120011 is a wasteful number, since it uses less digits than its factorization.

10111210120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

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

Adding to 10111210120011 its reverse (11002101211101), we get a palindrome (21113311331112).

The spelling of 10111210120011 in words is "ten trillion, one hundred eleven billion, two hundred ten million, one hundred twenty thousand, eleven".