10112211000111 has 128 divisors (see below), whose sum is σ = 16376654131200. Its totient is φ = 5478386780160.

The previous prime is 10112211000019. The next prime is 10112211000137. The reversal of 10112211000111 is 11100011221101.

It is not a de Polignac number, because 10112211000111 - 2⁷ = 10112210999983 is a prime.

It is a super-3 number, since 3×10112211000111³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112211000161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2516099260 + ... + 2516103278.

It is an arithmetic number, because the mean of its divisors is an integer number (127942610400).

Almost surely, 2^{10112211000111} is an apocalyptic number.

10112211000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10112211000111 is a deficient number, since it is larger than the sum of its proper divisors (6264443131089).

10112211000111 is a wasteful number, since it uses less digits than its factorization.

10112211000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949.

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

Adding to 10112211000111 its reverse (11100011221101), we get a palindrome (21212222221212).

It can be divided in two parts, 1011 and 2211000111, that added together give a palindrome (2211001122).

The spelling of 10112211000111 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, one hundred eleven", and thus it is an aban number.