122102101011 has 16 divisors (see below), whose sum is σ = 186950586240. Its totient is φ = 70106469120.

The previous prime is 122102101001. The next prime is 122102101013. The reversal of 122102101011 is 110101201221.

It is not a de Polignac number, because 122102101011 - 2³⁰ = 121028359187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122102101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97369470 + ... + 97370723.

It is an arithmetic number, because the mean of its divisors is an integer number (11684411640).

Almost surely, 2^122102101011 is an apocalyptic number.

122102101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122102101011 is a deficient number, since it is larger than the sum of its proper divisors (64848485229).

122102101011 is a wasteful number, since it uses less digits than its factorization.

122102101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194740226.

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

Adding to 122102101011 its reverse (110101201221), we get a palindrome (232203302232).

It can be divided in two parts, 12210210 and 1011, that added together give a palindrome (12211221).

The spelling of 122102101011 in words is "one hundred twenty-two billion, one hundred two million, one hundred one thousand, eleven".