102102121121 has 32 divisors (see below), whose sum is σ = 137115487488. Its totient is φ = 73425450240.

The previous prime is 102102121073. The next prime is 102102121123. The reversal of 102102121121 is 121121201201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102102121121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102121096 and 102102121105.

It is not an unprimeable number, because it can be changed into a prime (102102121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9016355 + ... + 9027671.

It is an arithmetic number, because the mean of its divisors is an integer number (4284858984).

Almost surely, 2^102102121121 is an apocalyptic number.

102102121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102121121 is a deficient number, since it is larger than the sum of its proper divisors (35013366367).

102102121121 is a wasteful number, since it uses less digits than its factorization.

102102121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20361.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102102121121 its reverse (121121201201), we get a palindrome (223223322322).

The spelling of 102102121121 in words is "one hundred two billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty-one".