121000012102002 has 256 divisors, whose sum is σ = 289165131104256. Its totient is φ = 33338511360000.

The previous prime is 121000012101971. The next prime is 121000012102033. The reversal of 121000012102002 is 200201210000121.

It is an interprime number because it is at equal distance from previous prime (121000012101971) and next prime (121000012102033).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4828977858 + ... + 4829002914.

It is an arithmetic number, because the mean of its divisors is an integer number (1129551293376).

Almost surely, 2^{121000012102002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000012102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144582565552128).

121000012102002 is an abundant number, since it is smaller than the sum of its proper divisors (168165119002254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121000012102002 is a wasteful number, since it uses less digits than its factorization.

121000012102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26225.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121000012102002 its reverse (200201210000121), we get a palindrome (321201222102123).

The spelling of 121000012102002 in words is "one hundred twenty-one trillion, twelve million, one hundred two thousand, two".