122113311103121 has 8 divisors (see below), whose sum is σ = 131728407730920. Its totient is φ = 112529895190272.

The previous prime is 122113311103067. The next prime is 122113311103127. The reversal of 122113311103121 is 121301113311221.

It can be written as a sum of positive squares in 4 ways, for example, as 32009342982400 + 90103968120721 = 5657680^2 + 9492311^2 .

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 122113311103121 - 2³⁰ = 122112237361297 is a prime.

It is a super-2 number, since 2×122113311103121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122113311103127) 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, 7920170726 + ... + 7920186143.

It is an arithmetic number, because the mean of its divisors is an integer number (16466050966365).

Almost surely, 2^{122113311103121} is an apocalyptic number.

It is an amenable number.

122113311103121 is a deficient number, since it is larger than the sum of its proper divisors (9615096627799).

122113311103121 is a wasteful number, since it uses less digits than its factorization.

122113311103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840357475.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 122113311103121 its reverse (121301113311221), we get a palindrome (243414424414342).

The spelling of 122113311103121 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred eleven million, one hundred three thousand, one hundred twenty-one".