100111102202121 has 32 divisors (see below), whose sum is σ = 142666841856000. Its totient is φ = 62260341743808.

The previous prime is 100111102202101. The next prime is 100111102202149. The reversal of 100111102202121 is 121202201111001.

It is a happy number.

100111102202121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100111102202121 - 2⁹ = 100111102201609 is a prime.

It is a super-2 number, since 2×100111102202121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100111102202121.

It is not an unprimeable number, because it can be changed into a prime (100111102202101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28122111 + ... + 31481348.

It is an arithmetic number, because the mean of its divisors is an integer number (4458338808000).

Almost surely, 2^{100111102202121} is an apocalyptic number.

It is an amenable number.

100111102202121 is a deficient number, since it is larger than the sum of its proper divisors (42555739653879).

100111102202121 is a wasteful number, since it uses less digits than its factorization.

100111102202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59603933.

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

Adding to 100111102202121 its reverse (121202201111001), we get a palindrome (221313303313122).

The spelling of 100111102202121 in words is "one hundred trillion, one hundred eleven billion, one hundred two million, two hundred two thousand, one hundred twenty-one".