101121143121 has 16 divisors (see below), whose sum is σ = 149864469120. Its totient is φ = 67389179760.

The previous prime is 101121143087. The next prime is 101121143177. The reversal of 101121143121 is 121341121101.

101121143121 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 211 + 431 + 21 = 666.

It is not a de Polignac number, because 101121143121 - 2¹³ = 101121134929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121143094 and 101121143103.

It is not an unprimeable number, because it can be changed into a prime (101121143621) 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 15 ways as a sum of consecutive naturals, for example, 617550 + ... + 763943.

It is an arithmetic number, because the mean of its divisors is an integer number (9366529320).

Almost surely, 2^101121143121 is an apocalyptic number.

It is an amenable number.

101121143121 is a deficient number, since it is larger than the sum of its proper divisors (48743325999).

101121143121 is a wasteful number, since it uses less digits than its factorization.

101121143121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384213 (or 1384207 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101121143121 its reverse (121341121101), we get a palindrome (222462264222).

The spelling of 101121143121 in words is "one hundred one billion, one hundred twenty-one million, one hundred forty-three thousand, one hundred twenty-one".