10101331121 has 16 divisors (see below), whose sum is σ = 11949342720. Its totient is φ = 8356087440.

The previous prime is 10101331103. The next prime is 10101331139. The reversal of 10101331121 is 12113310101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10101331103) and next prime (10101331139).

It is a cyclic number.

It is not a de Polignac number, because 10101331121 - 2¹⁴ = 10101314737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101331096 and 10101331105.

It is not an unprimeable number, because it can be changed into a prime (10101331421) 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, 16220 + ... + 143058.

It is an arithmetic number, because the mean of its divisors is an integer number (746833920).

Almost surely, 2^10101331121 is an apocalyptic number.

It is an amenable number.

10101331121 is a deficient number, since it is larger than the sum of its proper divisors (1848011599).

10101331121 is a wasteful number, since it uses less digits than its factorization.

10101331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127244.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10101331121 its reverse (12113310101), we get a palindrome (22214641222).

The spelling of 10101331121 in words is "ten billion, one hundred one million, three hundred thirty-one thousand, one hundred twenty-one".