122133122321001 has 24 divisors (see below), whose sum is σ = 186776345179200. Its totient is φ = 70801810036320.

The previous prime is 122133122320939. The next prime is 122133122321009. The reversal of 122133122321001 is 100123221331221.

It is not a de Polignac number, because 122133122321001 - 2¹⁰ = 122133122319977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122133122321009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7314228226 + ... + 7314244923.

It is an arithmetic number, because the mean of its divisors is an integer number (7782347715800).

Almost surely, 2^{122133122321001} is an apocalyptic number.

122133122321001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122133122321001 is a deficient number, since it is larger than the sum of its proper divisors (64643222858199).

122133122321001 is a wasteful number, since it uses less digits than its factorization.

122133122321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14628473197 (or 14628473186 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122133122321001 its reverse (100123221331221), we get a palindrome (222256343652222).

The spelling of 122133122321001 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred twenty-one thousand, one".