122211221212100 has 36 divisors (see below), whose sum is σ = 268178106791700. Its totient is φ = 48335224565760.

The previous prime is 122211221212061. The next prime is 122211221212117. The reversal of 122211221212100 is 1212122112221.

It can be written as a sum of positive squares in 6 ways, for example, as 32008980891904 + 90202240320196 = 5657648^2 + 9497486^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 6865790045 + ... + 6865807844.

It is an arithmetic number, because the mean of its divisors is an integer number (7449391855325).

Almost surely, 2^{122211221212100} is an apocalyptic number.

122211221212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211221212100 is an abundant number, since it is smaller than the sum of its proper divisors (145966885579600).

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

122211221212100 is a wasteful number, since it uses less digits than its factorization.

122211221212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731597992 (or 13731597985 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122211221212100 its reverse (1212122112221), we get a palindrome (123423343324321).

The spelling of 122211221212100 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".