1001011211121 has 8 divisors (see below), whose sum is σ = 1335750220000. Its totient is φ = 666806504832.

The previous prime is 1001011211093. The next prime is 1001011211129. The reversal of 1001011211121 is 1211121101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001011211121 - 2¹⁹ = 1001010686833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001011211097 and 1001011211106.

It is not an unprimeable number, because it can be changed into a prime (1001011211129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133571275 + ... + 133578768.

It is an arithmetic number, because the mean of its divisors is an integer number (166968777500).

Almost surely, 2^{1001011211121} is an apocalyptic number.

It is an amenable number.

1001011211121 is a deficient number, since it is larger than the sum of its proper divisors (334739008879).

1001011211121 is a wasteful number, since it uses less digits than its factorization.

1001011211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267151295.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001011211121 its reverse (1211121101001), we get a palindrome (2212132312122).

The spelling of 1001011211121 in words is "one trillion, one billion, eleven million, two hundred eleven thousand, one hundred twenty-one".