122101110011001 has 16 divisors (see below), whose sum is σ = 177601908250368. Its totient is φ = 74000550363600.

The previous prime is 122101110010981. The next prime is 122101110011009. The reversal of 122101110011001 is 100110011101221.

It is not a de Polignac number, because 122101110011001 - 2⁵ = 122101110010969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101110011009) 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, 19733706 + ... + 25171836.

It is an arithmetic number, because the mean of its divisors is an integer number (11100119265648).

Almost surely, 2^{122101110011001} is an apocalyptic number.

122101110011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101110011001 is a deficient number, since it is larger than the sum of its proper divisors (55500798239367).

122101110011001 is a wasteful number, since it uses less digits than its factorization.

122101110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118532.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 122101110011001 its reverse (100110011101221), we get a palindrome (222211121112222).

The spelling of 122101110011001 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred ten million, eleven thousand, one".