10102111121 has 4 divisors (see below), whose sum is σ = 10633801200. Its totient is φ = 9570421044.

The previous prime is 10102111109. The next prime is 10102111133. The reversal of 10102111121 is 12111120101.

10102111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (10102111109) and next prime (10102111133).

It is a cyclic number.

It is not a de Polignac number, because 10102111121 - 2¹⁰ = 10102110097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102111321) 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 3 ways as a sum of consecutive naturals, for example, 265845011 + ... + 265845048.

It is an arithmetic number, because the mean of its divisors is an integer number (2658450300).

Almost surely, 2^10102111121 is an apocalyptic number.

It is an amenable number.

10102111121 is a deficient number, since it is larger than the sum of its proper divisors (531690079).

10102111121 is an equidigital number, since it uses as much as digits as its factorization.

10102111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531690078.

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

Adding to 10102111121 its reverse (12111120101), we get a palindrome (22213231222).

The spelling of 10102111121 in words is "ten billion, one hundred two million, one hundred eleven thousand, one hundred twenty-one".