122110220212001 has 12 divisors (see below), whose sum is σ = 142047121967748. Its totient is φ = 104665505680512.

The previous prime is 122110220211953. The next prime is 122110220212003. The reversal of 122110220212001 is 100212022011221.

It can be written as a sum of positive squares in 2 ways, for example, as 53667360291601 + 68442859920400 = 7325801^2 + 8273020^2 .

It is not a de Polignac number, because 122110220212001 - 2²² = 122110216017697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122110220212003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8692805 + ... + 17882541.

It is an arithmetic number, because the mean of its divisors is an integer number (11837260163979).

Almost surely, 2^{122110220212001} is an apocalyptic number.

It is an amenable number.

122110220212001 is a deficient number, since it is larger than the sum of its proper divisors (19936901755747).

122110220212001 is an equidigital number, since it uses as much as digits as its factorization.

122110220212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460928 (or 9460921 counting only the distinct ones).

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

Adding to 122110220212001 its reverse (100212022011221), we get a palindrome (222322242223222).

The spelling of 122110220212001 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty million, two hundred twelve thousand, one".