102112201202121 has 96 divisors (see below), whose sum is σ = 181011852403200. Its totient is φ = 54664544355840.

The previous prime is 102112201202117. The next prime is 102112201202173. The reversal of 102112201202121 is 121202102211201.

102112201202121 is a `hidden beast` number, since 1 + 0 + 211 + 220 + 1 + 20 + 212 + 1 = 666.

It is not a de Polignac number, because 102112201202121 - 2² = 102112201202117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112201202094 and 102112201202103.

It is not an unprimeable number, because it can be changed into a prime (102112201202321) 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 95 ways as a sum of consecutive naturals, for example, 11500431 + ... + 18343508.

It is an arithmetic number, because the mean of its divisors is an integer number (1885540129200).

Almost surely, 2^{102112201202121} is an apocalyptic number.

102112201202121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112201202121 is a deficient number, since it is larger than the sum of its proper divisors (78899651201079).

102112201202121 is a wasteful number, since it uses less digits than its factorization.

102112201202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29844099 (or 29844096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112201202121 its reverse (121202102211201), we get a palindrome (223314303413322).

The spelling of 102112201202121 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, two hundred two thousand, one hundred twenty-one".