10102000111121 has 8 divisors (see below), whose sum is σ = 10115747071080. Its totient is φ = 10088261793792.

The previous prime is 10102000111117. The next prime is 10102000111141. The reversal of 10102000111121 is 12111100020101.

It can be written as a sum of positive squares in 4 ways, for example, as 9300060160000 + 801939951121 = 3049600^2 + 895511^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102000111121 - 2² = 10102000111117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102000111141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180371 + ... + 4498503.

It is an arithmetic number, because the mean of its divisors is an integer number (1264468383885).

Almost surely, 2^{10102000111121} is an apocalyptic number.

It is an amenable number.

10102000111121 is a deficient number, since it is larger than the sum of its proper divisors (13746959959).

10102000111121 is a wasteful number, since it uses less digits than its factorization.

10102000111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321315.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102000111121 its reverse (12111100020101), we get a palindrome (22213100131222).

The spelling of 10102000111121 in words is "ten trillion, one hundred two billion, one hundred eleven thousand, one hundred twenty-one".