101000033121 has 16 divisors (see below), whose sum is σ = 145648129536. Its totient is φ = 61887106176.

The previous prime is 101000033117. The next prime is 101000033177. The reversal of 101000033121 is 121330000101.

It is not a de Polignac number, because 101000033121 - 2² = 101000033117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101000033097 and 101000033106.

It is not an unprimeable number, because it can be changed into a prime (101000233121) 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, 5548305 + ... + 5566478.

It is an arithmetic number, because the mean of its divisors is an integer number (9103008096).

Almost surely, 2^101000033121 is an apocalyptic number.

It is an amenable number.

101000033121 is a deficient number, since it is larger than the sum of its proper divisors (44648096415).

101000033121 is a wasteful number, since it uses less digits than its factorization.

101000033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115032.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101000033121 its reverse (121330000101), we get a palindrome (222330033222).

The spelling of 101000033121 in words is "one hundred one billion, thirty-three thousand, one hundred twenty-one".