1021001011121 has 24 divisors (see below), whose sum is σ = 1279124398440. Its totient is φ = 807781911552.

The previous prime is 1021001011103. The next prime is 1021001011127. The reversal of 1021001011121 is 1211101001201.

It can be written as a sum of positive squares in 4 ways, for example, as 121986040225 + 899014970896 = 349265^2 + 948164^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1021001011121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021001011127) 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 23 ways as a sum of consecutive naturals, for example, 17685515 + ... + 17743151.

It is an arithmetic number, because the mean of its divisors is an integer number (53296849935).

Almost surely, 2^{1021001011121} is an apocalyptic number.

It is an amenable number.

1021001011121 is a deficient number, since it is larger than the sum of its proper divisors (258123387319).

1021001011121 is a wasteful number, since it uses less digits than its factorization.

1021001011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85473 (or 85466 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1021001011121 its reverse (1211101001201), we get a palindrome (2232102012322).

The spelling of 1021001011121 in words is "one trillion, twenty-one billion, one million, eleven thousand, one hundred twenty-one".