101011109121 has 12 divisors (see below), whose sum is σ = 157128392148. Its totient is φ = 62160682464.

The previous prime is 101011109117. The next prime is 101011109131. The reversal of 101011109121 is 121901110101.

It can be written as a sum of positive squares in 2 ways, for example, as 19366618896 + 81644490225 = 139164^2 + 285735^2 .

It is not a de Polignac number, because 101011109121 - 2² = 101011109117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011109094 and 101011109103.

It is not an unprimeable number, because it can be changed into a prime (101011109131) 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 11 ways as a sum of consecutive naturals, for example, 431671290 + ... + 431671523.

It is an arithmetic number, because the mean of its divisors is an integer number (13094032679).

Almost surely, 2^101011109121 is an apocalyptic number.

It is an amenable number.

101011109121 is a deficient number, since it is larger than the sum of its proper divisors (56117283027).

101011109121 is a wasteful number, since it uses less digits than its factorization.

101011109121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863342832 (or 863342829 counting only the distinct ones).

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

Adding to 101011109121 its reverse (121901110101), we get a palindrome (222912219222).

The spelling of 101011109121 in words is "one hundred one billion, eleven million, one hundred nine thousand, one hundred twenty-one".