122121122120100 has 54 divisors (see below), whose sum is σ = 382781872781490. Its totient is φ = 32565632565120.

The previous prime is 122121122120099. The next prime is 122121122120119. The reversal of 122121122120100 is 1021221121221.

122121122120100 is a `hidden beast` number, since 1 + 221 + 21 + 1 + 221 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 94811031396 + 122026311088704 = 307914^2 + 11046552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 67845066945 + ... + 67845068744.

Almost surely, 2^{122121122120100} is an apocalyptic number.

122121122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121122120100 is an abundant number, since it is smaller than the sum of its proper divisors (260660750661390).

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

122121122120100 is a wasteful number, since it uses less digits than its factorization.

122121122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135690135709 (or 135690135699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122121122120100 its reverse (1021221121221), we get a palindrome (123142343241321).

It can be divided in two parts, 122121 and 122120100, that added together give a palindrome (122242221).

The spelling of 122121122120100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".