122411142101001 has 16 divisors (see below), whose sum is σ = 180520381423424. Its totient is φ = 73293989448384.

The previous prime is 122411142100957. The next prime is 122411142101021. The reversal of 122411142101001 is 100101241114221.

It is not a de Polignac number, because 122411142101001 - 2²⁵ = 122411108546569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122411142101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42415501711 + ... + 42415504596.

It is an arithmetic number, because the mean of its divisors is an integer number (11282523838964).

Almost surely, 2^{122411142101001} is an apocalyptic number.

It is an amenable number.

122411142101001 is a deficient number, since it is larger than the sum of its proper divisors (58109239322423).

122411142101001 is a wasteful number, since it uses less digits than its factorization.

122411142101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84831006360.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122411142101001 its reverse (100101241114221), we get a palindrome (222512383215222).

The spelling of 122411142101001 in words is "one hundred twenty-two trillion, four hundred eleven billion, one hundred forty-two million, one hundred one thousand, one".