102111100223121 has 24 divisors (see below), whose sum is σ = 161098323235200. Its totient is φ = 61810137021600.

The previous prime is 102111100223089. The next prime is 102111100223147. The reversal of 102111100223121 is 121322001111201.

It is a happy number.

102111100223121 is a `hidden beast` number, since 1 + 0 + 211 + 110 + 0 + 223 + 121 = 666.

It is not a de Polignac number, because 102111100223121 - 2⁵ = 102111100223089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111100223094 and 102111100223103.

It is not an unprimeable number, because it can be changed into a prime (102111100223161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628070521 + ... + 628233078.

It is an arithmetic number, because the mean of its divisors is an integer number (6712430134800).

Almost surely, 2^{102111100223121} is an apocalyptic number.

102111100223121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102111100223121 is a deficient number, since it is larger than the sum of its proper divisors (58987223012079).

102111100223121 is a wasteful number, since it uses less digits than its factorization.

102111100223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256304437 (or 1256304434 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102111100223121 its reverse (121322001111201), we get a palindrome (223433101334322).

The spelling of 102111100223121 in words is "one hundred two trillion, one hundred eleven billion, one hundred million, two hundred twenty-three thousand, one hundred twenty-one".