122033121001 has 32 divisors (see below), whose sum is σ = 138876249600. Its totient is φ = 106259911680.

The previous prime is 122033120981. The next prime is 122033121047. The reversal of 122033121001 is 100121330221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122033121001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122033124001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11201565 + ... + 11212453.

It is an arithmetic number, because the mean of its divisors is an integer number (4339882800).

Almost surely, 2^122033121001 is an apocalyptic number.

122033121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122033121001 is a deficient number, since it is larger than the sum of its proper divisors (16843128599).

122033121001 is a wasteful number, since it uses less digits than its factorization.

122033121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122033121001 its reverse (100121330221), we get a palindrome (222154451222).

The spelling of 122033121001 in words is "one hundred twenty-two billion, thirty-three million, one hundred twenty-one thousand, one".