101222100000001 has 8 divisors (see below), whose sum is σ = 102292952149800. Its totient is φ = 100152593990400.

The previous prime is 101222099999869. The next prime is 101222100000019. The reversal of 101222100000001 is 100000001222101.

It can be written as a sum of positive squares in 4 ways, for example, as 6720662195776 + 94501437804225 = 2592424^2 + 9721185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101222100000001 - 2³⁵ = 101187740261633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101222100000031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336383866 + ... + 336684643.

It is an arithmetic number, because the mean of its divisors is an integer number (12786619018725).

Almost surely, 2^{101222100000001} is an apocalyptic number.

It is an amenable number.

101222100000001 is a deficient number, since it is larger than the sum of its proper divisors (1070852149799).

101222100000001 is a wasteful number, since it uses less digits than its factorization.

101222100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673070099.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101222100000001 its reverse (100000001222101), we get a palindrome (201222101222102).

The spelling of 101222100000001 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred million, one", and thus it is an aban number.