101001011121 has 6 divisors (see below), whose sum is σ = 145890349410. Its totient is φ = 67334007408.

The previous prime is 101001011113. The next prime is 101001011143. The reversal of 101001011121 is 121110100101.

It can be written as a sum of positive squares in only one way, i.e., 87790727025 + 13210284096 = 296295^2 + 114936^2 .

It is not a de Polignac number, because 101001011121 - 2³ = 101001011113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222334569 = 101001011121 / (1 + 0 + 1 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (101001011191) 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 5 ways as a sum of consecutive naturals, for example, 5611167276 + ... + 5611167293.

It is an arithmetic number, because the mean of its divisors is an integer number (24315058235).

Almost surely, 2^101001011121 is an apocalyptic number.

It is an amenable number.

101001011121 is a deficient number, since it is larger than the sum of its proper divisors (44889338289).

101001011121 is a wasteful number, since it uses less digits than its factorization.

101001011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222334575 (or 11222334572 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101001011121 its reverse (121110100101), we get a palindrome (222111111222).

The spelling of 101001011121 in words is "one hundred one billion, one million, eleven thousand, one hundred twenty-one".