102100111121 has 8 divisors (see below), whose sum is σ = 107477734080. Its totient is φ = 96722881488.

The previous prime is 102100111111. The next prime is 102100111151. The reversal of 102100111121 is 121111001201.

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 102100111121 - 2³⁴ = 84920241937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541220 + ... + 705066.

It is an arithmetic number, because the mean of its divisors is an integer number (13434716760).

Almost surely, 2^102100111121 is an apocalyptic number.

It is an amenable number.

102100111121 is a deficient number, since it is larger than the sum of its proper divisors (5377622959).

102100111121 is a wasteful number, since it uses less digits than its factorization.

102100111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196663.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102100111121 its reverse (121111001201), we get a palindrome (223211112322).

The spelling of 102100111121 in words is "one hundred two billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".