101330213121 has 12 divisors (see below), whose sum is σ = 147418857040. Its totient is φ = 67067478360.

The previous prime is 101330213119. The next prime is 101330213129. The reversal of 101330213121 is 121312033101.

101330213121 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 21 + 312 + 1 = 666.

It is not a de Polignac number, because 101330213121 - 2¹ = 101330213119 is a prime.

It is a super-2 number, since 2×101330213121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101330213094 and 101330213103.

It is not an unprimeable number, because it can be changed into a prime (101330213129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40498435 + ... + 40500936.

Almost surely, 2^101330213121 is an apocalyptic number.

It is an amenable number.

101330213121 is a deficient number, since it is larger than the sum of its proper divisors (46088643919).

101330213121 is a wasteful number, since it uses less digits than its factorization.

101330213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80999516 (or 80999513 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101330213121 its reverse (121312033101), we get a palindrome (222642246222).

The spelling of 101330213121 in words is "one hundred one billion, three hundred thirty million, two hundred thirteen thousand, one hundred twenty-one".