100120202011121 has 16 divisors (see below), whose sum is σ = 106035077246976. Its totient is φ = 94208157582336.

The previous prime is 100120202011117. The next prime is 100120202011153. The reversal of 100120202011121 is 121110202021001.

It is a cyclic number.

It is not a de Polignac number, because 100120202011121 - 2² = 100120202011117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120202011096 and 100120202011105.

It is not an unprimeable number, because it can be changed into a prime (100120202011321) 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 15 ways as a sum of consecutive naturals, for example, 1426036400 + ... + 1426106606.

It is an arithmetic number, because the mean of its divisors is an integer number (6627192327936).

Almost surely, 2^{100120202011121} is an apocalyptic number.

It is an amenable number.

100120202011121 is a deficient number, since it is larger than the sum of its proper divisors (5914875235855).

100120202011121 is a wasteful number, since it uses less digits than its factorization.

100120202011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89168.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100120202011121 its reverse (121110202021001), we get a palindrome (221230404032122).

The spelling of 100120202011121 in words is "one hundred trillion, one hundred twenty billion, two hundred two million, eleven thousand, one hundred twenty-one".