122011121001 has 64 divisors (see below), whose sum is σ = 205026619392. Its totient is φ = 62695200000.

The previous prime is 122011120967. The next prime is 122011121059. The reversal of 122011121001 is 100121110221.

It is not a de Polignac number, because 122011121001 - 2⁷ = 122011120873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122011101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35251411 + ... + 35254871.

It is an arithmetic number, because the mean of its divisors is an integer number (3203540928).

Almost surely, 2^122011121001 is an apocalyptic number.

122011121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011121001 is a deficient number, since it is larger than the sum of its proper divisors (83015498391).

122011121001 is a wasteful number, since it uses less digits than its factorization.

122011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122011121001 its reverse (100121110221), we get a palindrome (222132231222).

The spelling of 122011121001 in words is "one hundred twenty-two billion, eleven million, one hundred twenty-one thousand, one".