10102332121113 has 32 divisors (see below), whose sum is σ = 13926379299840. Its totient is φ = 6510458252480.

The previous prime is 10102332120929. The next prime is 10102332121117. The reversal of 10102332121113 is 31112123320101.

It is a cyclic number.

It is not a de Polignac number, because 10102332121113 - 2²⁹ = 10101795250201 is a prime.

It is a super-3 number, since 3×10102332121113³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10102332121113.

It is not an unprimeable number, because it can be changed into a prime (10102332121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16899358 + ... + 17486936.

It is an arithmetic number, because the mean of its divisors is an integer number (435199353120).

Almost surely, 2^{10102332121113} is an apocalyptic number.

It is an amenable number.

10102332121113 is a deficient number, since it is larger than the sum of its proper divisors (3824047178727).

10102332121113 is a wasteful number, since it uses less digits than its factorization.

10102332121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589229.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10102332121113 its reverse (31112123320101), we get a palindrome (41214455441214).

The spelling of 10102332121113 in words is "ten trillion, one hundred two billion, three hundred thirty-two million, one hundred twenty-one thousand, one hundred thirteen".