1010011121 has 16 divisors (see below), whose sum is σ = 1206897408. Its totient is φ = 826425600.

The previous prime is 1010011111. The next prime is 1010011181. The reversal of 1010011121 is 1211100101.

It is a happy number.

It is not a de Polignac number, because 1010011121 - 2¹⁴ = 1009994737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010011099 and 1010011108.

It is not an unprimeable number, because it can be changed into a prime (1010011111) 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 15 ways as a sum of consecutive naturals, for example, 77861 + ... + 89901.

It is an arithmetic number, because the mean of its divisors is an integer number (75431088).

Almost surely, 2^1010011121 is an apocalyptic number.

It is an amenable number.

1010011121 is a deficient number, since it is larger than the sum of its proper divisors (196886287).

1010011121 is a wasteful number, since it uses less digits than its factorization.

1010011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1010011121 is about 31780.6721294563. The cubic root of 1010011121 is about 1003.3259660194.

Adding to 1010011121 its reverse (1211100101), we get a palindrome (2221111222).

The spelling of 1010011121 in words is "one billion, ten million, eleven thousand, one hundred twenty-one".