1002101121 has 24 divisors (see below), whose sum is σ = 1661703680. Its totient is φ = 570053376.

The previous prime is 1002101077. The next prime is 1002101123. The reversal of 1002101121 is 1211012001.

It is a happy number.

It is not a de Polignac number, because 1002101121 - 2¹⁹ = 1001576833 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 (1002101123) 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 23 ways as a sum of consecutive naturals, for example, 21616 + ... + 49713.

Almost surely, 2^1002101121 is an apocalyptic number.

It is an amenable number.

1002101121 is a deficient number, since it is larger than the sum of its proper divisors (659602559).

1002101121 is a wasteful number, since it uses less digits than its factorization.

1002101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71565 (or 71562 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1002101121 is about 31655.9808093194. The cubic root of 1002101121 is about 1000.6998837152.

Adding to 1002101121 its reverse (1211012001), we get a palindrome (2213113122).

The spelling of 1002101121 in words is "one billion, two million, one hundred one thousand, one hundred twenty-one".