101222112000101 has 4 divisors (see below), whose sum is σ = 101222134764972. Its totient is φ = 101222089235232.

The previous prime is 101222112000091. The next prime is 101222112000127. The reversal of 101222112000101 is 101000211222101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 38495696160100 + 62726415840001 = 6204490^2 + 7920001^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222112000101 - 2¹⁴ = 101222111983717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222112000181) 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 3 ways as a sum of consecutive naturals, for example, 2293760 + ... + 14411993.

It is an arithmetic number, because the mean of its divisors is an integer number (25305533691243).

Almost surely, 2^{101222112000101} is an apocalyptic number.

It is an amenable number.

101222112000101 is a deficient number, since it is larger than the sum of its proper divisors (22764871).

101222112000101 is an equidigital number, since it uses as much as digits as its factorization.

101222112000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22764870.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101222112000101 its reverse (101000211222101), we get a palindrome (202222323222202).

The spelling of 101222112000101 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred one", and thus it is an aban number.