101200012002111 has 16 divisors (see below), whose sum is σ = 147578423690880. Its totient is φ = 61175671343520.

The previous prime is 101200012002031. The next prime is 101200012002179. The reversal of 101200012002111 is 111200210002101.

It is not a de Polignac number, because 101200012002111 - 2¹⁰ = 101200012001087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200012002181) 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, 3941718565 + ... + 3941744238.

It is an arithmetic number, because the mean of its divisors is an integer number (9223651480680).

Almost surely, 2^{101200012002111} is an apocalyptic number.

101200012002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101200012002111 is a deficient number, since it is larger than the sum of its proper divisors (46378411688769).

101200012002111 is a wasteful number, since it uses less digits than its factorization.

101200012002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883463206.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101200012002111 its reverse (111200210002101), we get a palindrome (212400222004212).

The spelling of 101200012002111 in words is "one hundred one trillion, two hundred billion, twelve million, two thousand, one hundred eleven".