122010110001121 has 8 divisors (see below), whose sum is σ = 122142084280488. Its totient is φ = 121878184224000.

The previous prime is 122010110001107. The next prime is 122010110001203. The reversal of 122010110001121 is 121100011010221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82206136897600 + 39803973103521 = 9066760^2 + 6309039^2 .

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 122010110001121 - 2²¹ = 122010107903969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122010140001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7090600 + ... + 17155081.

It is an arithmetic number, because the mean of its divisors is an integer number (15267760535061).

Almost surely, 2^{122010110001121} is an apocalyptic number.

It is an amenable number.

122010110001121 is a deficient number, since it is larger than the sum of its proper divisors (131974279367).

122010110001121 is a wasteful number, since it uses less digits than its factorization.

122010110001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24251123.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122010110001121 its reverse (121100011010221), we get a palindrome (243110121011342).

The spelling of 122010110001121 in words is "one hundred twenty-two trillion, ten billion, one hundred ten million, one thousand, one hundred twenty-one".