101222000121001 has 16 divisors (see below), whose sum is σ = 106898169692160. Its totient is φ = 95580709670160.

The previous prime is 101222000120951. The next prime is 101222000121019. The reversal of 101222000121001 is 100121000222101.

It is a cyclic number.

It is not a de Polignac number, because 101222000121001 - 2¹³ = 101222000112809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101222000121031) 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, 703802040 + ... + 703945846.

It is an arithmetic number, because the mean of its divisors is an integer number (6681135605760).

Almost surely, 2^{101222000121001} is an apocalyptic number.

It is an amenable number.

101222000121001 is a deficient number, since it is larger than the sum of its proper divisors (5676169571159).

101222000121001 is a wasteful number, since it uses less digits than its factorization.

101222000121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264804.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101222000121001 its reverse (100121000222101), we get a palindrome (201343000343102).

The spelling of 101222000121001 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-one thousand, one".