1010001011121 has 12 divisors (see below), whose sum is σ = 1458902216772. Its totient is φ = 673328530176.

The previous prime is 1010001011113. The next prime is 1010001011177. The reversal of 1010001011121 is 1211101000101.

It can be written as a sum of positive squares in 2 ways, for example, as 741899704896 + 268101306225 = 861336^2 + 517785^2 .

It is not a de Polignac number, because 1010001011121 - 2³ = 1010001011113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010001016121) 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, 934525 + ... + 1700981.

It is an arithmetic number, because the mean of its divisors is an integer number (121575184731).

Almost surely, 2^{1010001011121} is an apocalyptic number.

It is an amenable number.

1010001011121 is a deficient number, since it is larger than the sum of its proper divisors (448901205651).

1010001011121 is a wasteful number, since it uses less digits than its factorization.

1010001011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912880 (or 912877 counting only the distinct ones).

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

Adding to 1010001011121 its reverse (1211101000101), we get a palindrome (2221102011222).

The spelling of 1010001011121 in words is "one trillion, ten billion, one million, eleven thousand, one hundred twenty-one".