102000121111221 has 32 divisors (see below), whose sum is σ = 143085058032000. Its totient is φ = 64547404830720.

The previous prime is 102000121111193. The next prime is 102000121111241. The reversal of 102000121111221 is 122111121000201.

It is a happy number.

It is not a de Polignac number, because 102000121111221 - 2³¹ = 101997973627573 is a prime.

It is a super-2 number, since 2×102000121111221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102000121111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000121111241) 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 31 ways as a sum of consecutive naturals, for example, 318860685 + ... + 319180413.

It is an arithmetic number, because the mean of its divisors is an integer number (4471408063500).

Almost surely, 2^{102000121111221} is an apocalyptic number.

It is an amenable number.

102000121111221 is a deficient number, since it is larger than the sum of its proper divisors (41084936920779).

102000121111221 is a wasteful number, since it uses less digits than its factorization.

102000121111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389909.

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

Adding to 102000121111221 its reverse (122111121000201), we get a palindrome (224111242111422).

The spelling of 102000121111221 in words is "one hundred two trillion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".