101200111111 has 16 divisors (see below), whose sum is σ = 110913960960. Its totient is φ = 91572500320.

The previous prime is 101200111097. The next prime is 101200111147. The reversal of 101200111111 is 111111002101.

It is a cyclic number.

It is not a de Polignac number, because 101200111111 - 2⁵ = 101200111079 is a prime.

It is a super-4 number, since 4×101200111111⁴ (a number of 45 digits) contains 4444 as substring.

101200111111 is a modest number, since divided by 111111 gives 101200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200111171) 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, 3541266 + ... + 3569728.

It is an arithmetic number, because the mean of its divisors is an integer number (6932122560).

Almost surely, 2^101200111111 is an apocalyptic number.

101200111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101200111111 is a deficient number, since it is larger than the sum of its proper divisors (9713849849).

101200111111 is a wasteful number, since it uses less digits than its factorization.

101200111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29966.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101200111111 its reverse (111111002101), we get a palindrome (212311113212).

The spelling of 101200111111 in words is "one hundred one billion, two hundred million, one hundred eleven thousand, one hundred eleven".