122113213101 has 24 divisors (see below), whose sum is σ = 193935965184. Its totient is φ = 73425260160.

The previous prime is 122113213097. The next prime is 122113213109. The reversal of 122113213101 is 101312311221.

122113213101 is a `hidden beast` number, since 1 + 22 + 11 + 321 + 310 + 1 = 666.

It is not a de Polignac number, because 122113213101 - 2² = 122113213097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113213109) 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 23 ways as a sum of consecutive naturals, for example, 4843596 + ... + 4868741.

It is an arithmetic number, because the mean of its divisors is an integer number (8080665216).

Almost surely, 2^122113213101 is an apocalyptic number.

122113213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122113213101 is a deficient number, since it is larger than the sum of its proper divisors (71822752083).

122113213101 is a wasteful number, since it uses less digits than its factorization.

122113213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9712481 (or 9712478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122113213101 its reverse (101312311221), we get a palindrome (223425524322).

The spelling of 122113213101 in words is "one hundred twenty-two billion, one hundred thirteen million, two hundred thirteen thousand, one hundred one".