101201122000121 has 16 divisors (see below), whose sum is σ = 118898176320000. Its totient is φ = 84920768123520.

The previous prime is 101201122000079. The next prime is 101201122000127. The reversal of 101201122000121 is 121000221102101.

It is a cyclic number.

It is not a de Polignac number, because 101201122000121 - 2²² = 101201117805817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201122000096 and 101201122000105.

It is not an unprimeable number, because it can be changed into a prime (101201122000127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9790121 + ... + 17269878.

It is an arithmetic number, because the mean of its divisors is an integer number (7431136020000).

Almost surely, 2^{101201122000121} is an apocalyptic number.

101201122000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201122000121 is a deficient number, since it is larger than the sum of its proper divisors (17697054319879).

101201122000121 is a wasteful number, since it uses less digits than its factorization.

101201122000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27086176.

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

Adding to 101201122000121 its reverse (121000221102101), we get a palindrome (222201343102222).

The spelling of 101201122000121 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.