100200222122121 has 24 divisors (see below), whose sum is σ = 158950932004800. Its totient is φ = 60319840845600.

The previous prime is 100200222122101. The next prime is 100200222122171. The reversal of 100200222122121 is 121221222002001.

It is a happy number.

100200222122121 is a `hidden beast` number, since 1 + 0 + 0 + 200 + 2 + 221 + 221 + 21 = 666.

It is not a de Polignac number, because 100200222122121 - 2¹⁸ = 100200221859977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200222122094 and 100200222122103.

It is not an unprimeable number, because it can be changed into a prime (100200222122101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396372685 + ... + 3396402186.

It is an arithmetic number, because the mean of its divisors is an integer number (6622955500200).

Almost surely, 2^{100200222122121} is an apocalyptic number.

100200222122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200222122121 is a deficient number, since it is larger than the sum of its proper divisors (58750709882679).

100200222122121 is a wasteful number, since it uses less digits than its factorization.

100200222122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792775037 (or 6792775034 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100200222122121 its reverse (121221222002001), we get a palindrome (221421444124122).

The spelling of 100200222122121 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".