100120010121121 has 8 divisors (see below), whose sum is σ = 100539318677760. Its totient is φ = 99700704868128.

The previous prime is 100120010121113. The next prime is 100120010121127. The reversal of 100120010121121 is 121121010021001.

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 100120010121121 - 2³ = 100120010121113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120010121127) 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, 74122620 + ... + 75461266.

It is an arithmetic number, because the mean of its divisors is an integer number (12567414834720).

Almost surely, 2^{100120010121121} is an apocalyptic number.

It is an amenable number.

100120010121121 is a deficient number, since it is larger than the sum of its proper divisors (419308556639).

100120010121121 is a wasteful number, since it uses less digits than its factorization.

100120010121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651823.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100120010121121 its reverse (121121010021001), we get a palindrome (221241020142122).

The spelling of 100120010121121 in words is "one hundred trillion, one hundred twenty billion, ten million, one hundred twenty-one thousand, one hundred twenty-one".