122101110121001 has 8 divisors (see below), whose sum is σ = 133201525788000. Its totient is φ = 111000746911840.

The previous prime is 122101110120973. The next prime is 122101110121033. The reversal of 122101110121001 is 100121011101221.

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 122101110121001 - 2²² = 122101105926697 is a prime.

It is a super-2 number, since 2×122101110121001² (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 (122101110151001) 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, 8166476 + ... + 17632173.

It is an arithmetic number, because the mean of its divisors is an integer number (16650190723500).

Almost surely, 2^{122101110121001} is an apocalyptic number.

122101110121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101110121001 is a deficient number, since it is larger than the sum of its proper divisors (11100415666999).

122101110121001 is a wasteful number, since it uses less digits than its factorization.

122101110121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26228919.

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

Adding to 122101110121001 its reverse (100121011101221), we get a palindrome (222222121222222).

The spelling of 122101110121001 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred ten million, one hundred twenty-one thousand, one".