122002211221001 has 16 divisors (see below), whose sum is σ = 122327344349184. Its totient is φ = 121677549151824.

The previous prime is 122002211220991. The next prime is 122002211221109. The reversal of 122002211221001 is 100122112200221.

It is a cyclic number.

It is not a de Polignac number, because 122002211221001 - 2³⁸ = 121727333314057 is a prime.

It is a super-3 number, since 3×122002211221001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122002211221301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2566984700 + ... + 2567032226.

It is an arithmetic number, because the mean of its divisors is an integer number (7645459021824).

Almost surely, 2^{122002211221001} is an apocalyptic number.

It is an amenable number.

122002211221001 is a deficient number, since it is larger than the sum of its proper divisors (325133128183).

122002211221001 is a wasteful number, since it uses less digits than its factorization.

122002211221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52340.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122002211221001 its reverse (100122112200221), we get a palindrome (222124323421222).

The spelling of 122002211221001 in words is "one hundred twenty-two trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, one".