100121221121202 has 24 divisors (see below), whose sum is σ = 216987989693436. Its totient is φ = 33364713102336.

The previous prime is 100121221121179. The next prime is 100121221121209. The reversal of 100121221121202 is 202121122121001.

100121221121202 is a `hidden beast` number, since 1 + 0 + 0 + 121 + 221 + 121 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100115213166081 + 6007955121 = 10005759^2 + 77511^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100121221121209) 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, 752204223 + ... + 752337314.

Almost surely, 2^{100121221121202} is an apocalyptic number.

100121221121202 is an abundant number, since it is smaller than the sum of its proper divisors (116866768572234).

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

100121221121202 is a wasteful number, since it uses less digits than its factorization.

100121221121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504545242 (or 1504545239 counting only the distinct ones).

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

Adding to 100121221121202 its reverse (202121122121001), we get a palindrome (302242343242203).

The spelling of 100121221121202 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred two".