122100112001121 has 8 divisors (see below), whose sum is σ = 162821998800864. Its totient is φ = 81389149934400.

The previous prime is 122100112001117. The next prime is 122100112001171. The reversal of 122100112001121 is 121100211001221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122100112001121 - 2² = 122100112001117 is a prime.

It is a super-2 number, since 2×122100112001121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122100112001121.

It is not an unprimeable number, because it can be changed into a prime (122100112001171) 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, 2731157176 + ... + 2731201881.

It is an arithmetic number, because the mean of its divisors is an integer number (20352749850108).

Almost surely, 2^{122100112001121} is an apocalyptic number.

It is an amenable number.

122100112001121 is a deficient number, since it is larger than the sum of its proper divisors (40721886799743).

122100112001121 is an equidigital number, since it uses as much as digits as its factorization.

122100112001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462366511.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122100112001121 its reverse (121100211001221), we get a palindrome (243200323002342).

The spelling of 122100112001121 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twelve million, one thousand, one hundred twenty-one".