102001102121121 has 96 divisors (see below), whose sum is σ = 161909773516800. Its totient is φ = 56926990882944.

The previous prime is 102001102121117. The next prime is 102001102121131. The reversal of 102001102121121 is 121121201100201.

It is a happy number.

It is not a de Polignac number, because 102001102121121 - 2² = 102001102121117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102001102121121.

It is not an unprimeable number, because it can be changed into a prime (102001102121131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15217228056 + ... + 15217234758.

It is an arithmetic number, because the mean of its divisors is an integer number (1686560140800).

Almost surely, 2^{102001102121121} is an apocalyptic number.

It is an amenable number.

102001102121121 is a deficient number, since it is larger than the sum of its proper divisors (59908671395679).

102001102121121 is a wasteful number, since it uses less digits than its factorization.

102001102121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11043 (or 11036 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102001102121121 its reverse (121121201100201), we get a palindrome (223122303221322).

The spelling of 102001102121121 in words is "one hundred two trillion, one billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty-one".