101222012200001 has 16 divisors (see below), whose sum is σ = 126201921451008. Its totient is φ = 78872389534800.

The previous prime is 101222012199961. The next prime is 101222012200013. The reversal of 101222012200001 is 100002210222101.

It is a cyclic number.

It is not a de Polignac number, because 101222012200001 - 2¹⁸ = 101222011937857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101222012220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12668885 + ... + 19051106.

It is an arithmetic number, because the mean of its divisors is an integer number (7887620090688).

Almost surely, 2^{101222012200001} is an apocalyptic number.

101222012200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222012200001 is a deficient number, since it is larger than the sum of its proper divisors (24979909251007).

101222012200001 is a wasteful number, since it uses less digits than its factorization.

101222012200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31761452.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101222012200001 its reverse (100002210222101), we get a palindrome (201224222422102).

The spelling of 101222012200001 in words is "one hundred one trillion, two hundred twenty-two billion, twelve million, two hundred thousand, one".