122100112100101 has 12 divisors (see below), whose sum is σ = 128885212936704. Its totient is φ = 115655342437800.

The previous prime is 122100112100069. The next prime is 122100112100119. The reversal of 122100112100101 is 101001211001221.

It is a happy number.

It is not a de Polignac number, because 122100112100101 - 2⁵ = 122100112100069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100112100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24703755 + ... + 29231416.

It is an arithmetic number, because the mean of its divisors is an integer number (10740434411392).

Almost surely, 2^{122100112100101} is an apocalyptic number.

It is an amenable number.

122100112100101 is a deficient number, since it is larger than the sum of its proper divisors (6785100836603).

122100112100101 is an equidigital number, since it uses as much as digits as its factorization.

122100112100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53941480 (or 53941461 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122100112100101 its reverse (101001211001221), we get a palindrome (223101323101322).

The spelling of 122100112100101 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twelve million, one hundred thousand, one hundred one".