1000213002121 has 16 divisors (see below), whose sum is σ = 1030554285840. Its totient is φ = 970413050880.

The previous prime is 1000213002091. The next prime is 1000213002137. The reversal of 1000213002121 is 1212003120001.

It can be written as a sum of positive squares in 8 ways, for example, as 86515986496 + 913697015625 = 294136^2 + 955875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000213002121 is a prime.

It is a super-2 number, since 2×1000213002121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000213002421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930885 + ... + 1693213.

It is an arithmetic number, because the mean of its divisors is an integer number (64409642865).

Almost surely, 2^{1000213002121} is an apocalyptic number.

It is an amenable number.

1000213002121 is a deficient number, since it is larger than the sum of its proper divisors (30341283719).

1000213002121 is a wasteful number, since it uses less digits than its factorization.

1000213002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762684.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1000213002121 its reverse (1212003120001), we get a palindrome (2212216122122).

The spelling of 1000213002121 in words is "one trillion, two hundred thirteen million, two thousand, one hundred twenty-one".