101200010022111 has 256 divisors, whose sum is σ = 187740301012992. Its totient is φ = 47181493370880.

The previous prime is 101200010022103. The next prime is 101200010022151. The reversal of 101200010022111 is 111220010002101.

101200010022111 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101200010022111 - 2³ = 101200010022103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200010022151) 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, 35721851751 + ... + 35721854583.

It is an arithmetic number, because the mean of its divisors is an integer number (733360550832).

Almost surely, 2^{101200010022111} is an apocalyptic number.

101200010022111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101200010022111 is a deficient number, since it is larger than the sum of its proper divisors (86540290990881).

101200010022111 is a wasteful number, since it uses less digits than its factorization.

101200010022111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5583 (or 5561 counting only the distinct ones).

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

Adding to 101200010022111 its reverse (111220010002101), we get a palindrome (212420020024212).

The spelling of 101200010022111 in words is "one hundred one trillion, two hundred billion, ten million, twenty-two thousand, one hundred eleven".