1011121201121 has 8 divisors (see below), whose sum is σ = 1070866573704. Its totient is φ = 951405568000.

The previous prime is 1011121201049. The next prime is 1011121201127. The reversal of 1011121201121 is 1211021211101.

It can be written as a sum of positive squares in 4 ways, for example, as 199880526400 + 811240674721 = 447080^2 + 900689^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1011121201121 - 2¹⁸ = 1011120938977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011121201096 and 1011121201105.

It is not an unprimeable number, because it can be changed into a prime (1011121201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7364840 + ... + 7500873.

It is an arithmetic number, because the mean of its divisors is an integer number (133858321713).

Almost surely, 2^{1011121201121} is an apocalyptic number.

It is an amenable number.

1011121201121 is a deficient number, since it is larger than the sum of its proper divisors (59745372583).

1011121201121 is a wasteful number, since it uses less digits than its factorization.

1011121201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14869731.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1011121201121 its reverse (1211021211101), we get a palindrome (2222142412222).

The spelling of 1011121201121 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-one".