102121120222121 has 48 divisors (see below), whose sum is σ = 139595312945088. Its totient is φ = 73436288284800.

The previous prime is 102121120222063. The next prime is 102121120222129. The reversal of 102121120222121 is 121222021121201.

It is not a de Polignac number, because 102121120222121 - 2¹⁰ = 102121120221097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121120222093 and 102121120222102.

It is not an unprimeable number, because it can be changed into a prime (102121120222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27775991 + ... + 31236963.

It is an arithmetic number, because the mean of its divisors is an integer number (2908235686356).

Almost surely, 2^{102121120222121} is an apocalyptic number.

102121120222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102121120222121 is a deficient number, since it is larger than the sum of its proper divisors (37474192722967).

102121120222121 is a wasteful number, since it uses less digits than its factorization.

102121120222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465222 (or 3465215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102121120222121 its reverse (121222021121201), we get a palindrome (223343141343322).

The spelling of 102121120222121 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty-one".