122112002022001 has 8 divisors (see below), whose sum is σ = 125412532850984. Its totient is φ = 118811482058880.

The previous prime is 122112002021959. The next prime is 122112002022019. The reversal of 122112002022001 is 100220200211221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29860760250000 + 92251241772001 = 5464500^2 + 9604751^2 .

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 122112002022001 - 2³³ = 122103412087409 is a prime.

It is a super-2 number, since 2×122112002022001² (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 (122112002022401) 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, 23415541 + ... + 28151581.

It is an arithmetic number, because the mean of its divisors is an integer number (15676566606373).

Almost surely, 2^{122112002022001} is an apocalyptic number.

It is an amenable number.

122112002022001 is a deficient number, since it is larger than the sum of its proper divisors (3300530828983).

122112002022001 is an equidigital number, since it uses as much as digits as its factorization.

122112002022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432931.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122112002022001 its reverse (100220200211221), we get a palindrome (222332202233222).

The spelling of 122112002022001 in words is "one hundred twenty-two trillion, one hundred twelve billion, two million, twenty-two thousand, one".