100111001111121 has 96 divisors (see below), whose sum is σ = 187350318949248. Its totient is φ = 46707835023360.

The previous prime is 100111001111039. The next prime is 100111001111137. The reversal of 100111001111121 is 121111100111001.

It is not a de Polignac number, because 100111001111121 - 2¹³ = 100111001102929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111001111097 and 100111001111106.

It is not an unprimeable number, because it can be changed into a prime (100111001111021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63579360 + ... + 65134913.

It is an arithmetic number, because the mean of its divisors is an integer number (1951565822388).

Almost surely, 2^{100111001111121} is an apocalyptic number.

100111001111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111001111121 is a deficient number, since it is larger than the sum of its proper divisors (87239317838127).

100111001111121 is a wasteful number, since it uses less digits than its factorization.

100111001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128714351 (or 128714344 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100111001111121 its reverse (121111100111001), we get a palindrome (221222101222122).

The spelling of 100111001111121 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred twenty-one".