1001010011121 has 96 divisors (see below), whose sum is σ = 1525539225600. Its totient is φ = 631970801280.

The previous prime is 1001010011107. The next prime is 1001010011149. The reversal of 1001010011121 is 1211100101001.

1001010011121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001010011121 - 2¹⁴ = 1001009994737 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001010011191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424695475 + ... + 424697831.

It is an arithmetic number, because the mean of its divisors is an integer number (15891033600).

Almost surely, 2^{1001010011121} is an apocalyptic number.

It is an amenable number.

1001010011121 is a deficient number, since it is larger than the sum of its proper divisors (524529214479).

1001010011121 is a wasteful number, since it uses less digits than its factorization.

1001010011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2736 counting only the distinct ones).

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

Adding to 1001010011121 its reverse (1211100101001), we get a palindrome (2212110112122).

The spelling of 1001010011121 in words is "one trillion, one billion, ten million, eleven thousand, one hundred twenty-one".