122111120101001 has 4 divisors (see below), whose sum is σ = 122402554755600. Its totient is φ = 121819685446404.

The previous prime is 122111120100979. The next prime is 122111120101081. The reversal of 122111120101001 is 100101021111221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 122111120101001 - 2¹⁰ = 122111120099977 is a prime.

It is a super-2 number, since 2×122111120101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122111120101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145717326671 + ... + 145717327508.

It is an arithmetic number, because the mean of its divisors is an integer number (30600638688900).

Almost surely, 2^{122111120101001} is an apocalyptic number.

It is an amenable number.

122111120101001 is a deficient number, since it is larger than the sum of its proper divisors (291434654599).

122111120101001 is an equidigital number, since it uses as much as digits as its factorization.

122111120101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291434654598.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122111120101001 its reverse (100101021111221), we get a palindrome (222212141212222).

The spelling of 122111120101001 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty million, one hundred one thousand, one".