100121201321121 has 40 divisors (see below), whose sum is σ = 150491586907200. Its totient is φ = 66334186990368.

The previous prime is 100121201321111. The next prime is 100121201321129. The reversal of 100121201321121 is 121123102121001.

It is a happy number.

100121201321121 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 21 + 201 + 321 + 121 = 666.

It is not a de Polignac number, because 100121201321121 - 2⁷ = 100121201320993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121201321094 and 100121201321103.

It is not an unprimeable number, because it can be changed into a prime (100121201321129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10108606 + ... + 17390408.

It is an arithmetic number, because the mean of its divisors is an integer number (3762289672680).

Almost surely, 2^{100121201321121} is an apocalyptic number.

It is an amenable number.

100121201321121 is a deficient number, since it is larger than the sum of its proper divisors (50370385586079).

100121201321121 is an equidigital number, since it uses as much as digits as its factorization.

100121201321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282867 (or 7282858 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100121201321121 its reverse (121123102121001), we get a palindrome (221244303442122).

The spelling of 100121201321121 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty-one".