1010002121 has 8 divisors (see below), whose sum is σ = 1030527624. Its totient is φ = 989683200.

The previous prime is 1010002117. The next prime is 1010002177. The reversal of 1010002121 is 1212000101.

1010002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 382750096 + 627252025 = 19564^2 + 25045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010002121 - 2² = 1010002117 is a prime.

It is a Duffinian number.

1010002121 is a modest number, since divided by 2121 gives 1010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1010002099 and 1010002108.

It is not an unprimeable number, because it can be changed into a prime (1010002621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41750 + ... + 61343.

It is an arithmetic number, because the mean of its divisors is an integer number (128815953).

Almost surely, 2^1010002121 is an apocalyptic number.

It is an amenable number.

1010002121 is a deficient number, since it is larger than the sum of its proper divisors (20525503).

1010002121 is a wasteful number, since it uses less digits than its factorization.

1010002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103291.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1010002121 is about 31780.5305336459. The cubic root of 1010002121 is about 1003.3229858672.

Adding to 1010002121 its reverse (1212000101), we get a palindrome (2222002222).

The spelling of 1010002121 in words is "one billion, ten million, two thousand, one hundred twenty-one".