100121220002221 has 8 divisors (see below), whose sum is σ = 109312020669600. Its totient is φ = 90945231264240.

The previous prime is 100121220002213. The next prime is 100121220002269. The reversal of 100121220002221 is 122200022121001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121220002221 - 2³ = 100121220002213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121220002195 and 100121220002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121220002201) 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 7 ways as a sum of consecutive naturals, for example, 3702968211 + ... + 3702995248.

It is an arithmetic number, because the mean of its divisors is an integer number (13664002583700).

Almost surely, 2^{100121220002221} is an apocalyptic number.

100121220002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121220002221 is a deficient number, since it is larger than the sum of its proper divisors (9190800667379).

100121220002221 is a wasteful number, since it uses less digits than its factorization.

100121220002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405964699.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100121220002221 its reverse (122200022121001), we get a palindrome (222321242123222).

The spelling of 100121220002221 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, two thousand, two hundred twenty-one".