10121331121 has 16 divisors (see below), whose sum is σ = 11229120576. Its totient is φ = 9045000000.

The previous prime is 10121331113. The next prime is 10121331127. The reversal of 10121331121 is 12113312101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10121331121 - 2³ = 10121331113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121331095 and 10121331104.

It is not an unprimeable number, because it can be changed into a prime (10121331127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507071 + ... + 1513771.

It is an arithmetic number, because the mean of its divisors is an integer number (701820036).

Almost surely, 2^10121331121 is an apocalyptic number.

10121331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121331121 is a deficient number, since it is larger than the sum of its proper divisors (1107789455).

10121331121 is a wasteful number, since it uses less digits than its factorization.

10121331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10121331121 its reverse (12113312101), we get a palindrome (22234643222).

The spelling of 10121331121 in words is "ten billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty-one".