100120211120121 has 16 divisors (see below), whose sum is σ = 134053678598400. Its totient is φ = 66466781833088.

The previous prime is 100120211120117. The next prime is 100120211120201. The reversal of 100120211120121 is 121021112021001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100120211120121 - 2² = 100120211120117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120211120121.

It is not an unprimeable number, because it can be changed into a prime (100120211120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66821245 + ... + 68303141.

It is an arithmetic number, because the mean of its divisors is an integer number (8378354912400).

Almost surely, 2^{100120211120121} is an apocalyptic number.

It is an amenable number.

100120211120121 is a deficient number, since it is larger than the sum of its proper divisors (33933467478279).

100120211120121 is a wasteful number, since it uses less digits than its factorization.

100120211120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576368.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100120211120121 its reverse (121021112021001), we get a palindrome (221141323141122).

The spelling of 100120211120121 in words is "one hundred trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty-one".