122111001222100 has 72 divisors (see below), whose sum is σ = 290740968449568. Its totient is φ = 44147329852800.

The previous prime is 122111001222017. The next prime is 122111001222151. The reversal of 122111001222100 is 1222100111221.

It is a super-2 number, since 2×122111001222100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 320647854 + ... + 321028453.

It is an arithmetic number, because the mean of its divisors is an integer number (4038069006244).

Almost surely, 2^{122111001222100} is an apocalyptic number.

122111001222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111001222100 is an abundant number, since it is smaller than the sum of its proper divisors (168629967227468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111001222100 is a wasteful number, since it uses less digits than its factorization.

122111001222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641676505 (or 641676498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122111001222100 its reverse (1222100111221), we get a palindrome (123333101333321).

The spelling of 122111001222100 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, two hundred twenty-two thousand, one hundred".