122113343102101 has 8 divisors (see below), whose sum is σ = 133662524354744. Its totient is φ = 110872140016320.

The previous prime is 122113343102021. The next prime is 122113343102147. The reversal of 122113343102101 is 101201343311221.

It can be written as a sum of positive squares in 4 ways, for example, as 22578899979076 + 99534443123025 = 4751726^2 + 9976695^2 .

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 122113343102101 - 2²³ = 122113334713493 is a prime.

It is a super-2 number, since 2×122113343102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113343102161) 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, 76994540886 + ... + 76994542471.

It is an arithmetic number, because the mean of its divisors is an integer number (16707815544343).

Almost surely, 2^{122113343102101} is an apocalyptic number.

It is an amenable number.

122113343102101 is a deficient number, since it is larger than the sum of its proper divisors (11549181252643).

122113343102101 is a wasteful number, since it uses less digits than its factorization.

122113343102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153989083431.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 122113343102101 its reverse (101201343311221), we get a palindrome (223314686413322).

The spelling of 122113343102101 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred forty-three million, one hundred two thousand, one hundred one".