122101120102011 has 16 divisors (see below), whose sum is σ = 163246076388864. Its totient is φ = 81178457945184.

The previous prime is 122101120102007. The next prime is 122101120102019. The reversal of 122101120102011 is 110201021101221.

It is a happy number.

It is not a de Polignac number, because 122101120102011 - 2² = 122101120102007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101120102019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345408525 + ... + 345761841.

It is an arithmetic number, because the mean of its divisors is an integer number (10202879774304).

Almost surely, 2^{122101120102011} is an apocalyptic number.

122101120102011 is a deficient number, since it is larger than the sum of its proper divisors (41144956286853).

122101120102011 is a wasteful number, since it uses less digits than its factorization.

122101120102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667570.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122101120102011 its reverse (110201021101221), we get a palindrome (232302141203232).

The spelling of 122101120102011 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred two thousand, eleven".