100120221000121 has 32 divisors (see below), whose sum is σ = 127614357964800. Its totient is φ = 78163793971200.

The previous prime is 100120221000097. The next prime is 100120221000139. The reversal of 100120221000121 is 121000122021001.

It is not a de Polignac number, because 100120221000121 - 2⁷ = 100120220999993 is a prime.

It is a super-2 number, since 2×100120221000121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100120221000221) 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 31 ways as a sum of consecutive naturals, for example, 276760120 + ... + 277121641.

It is an arithmetic number, because the mean of its divisors is an integer number (3987948686400).

Almost surely, 2^{100120221000121} is an apocalyptic number.

It is an amenable number.

100120221000121 is a deficient number, since it is larger than the sum of its proper divisors (27494136964679).

100120221000121 is an equidigital number, since it uses as much as digits as its factorization.

100120221000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553881830 (or 553881816 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100120221000121 its reverse (121000122021001), we get a palindrome (221120343021122).

The spelling of 100120221000121 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.