10002000210311 has 8 divisors (see below), whose sum is σ = 10218139426560. Its totient is φ = 9785999773368.

The previous prime is 10002000210269. The next prime is 10002000210337. The reversal of 10002000210311 is 11301200020001.

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 10002000210311 - 2¹⁸ = 10001999948167 is a prime.

It is a super-2 number, since 2×10002000210311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002000210292 and 10002000210301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000260311) 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, 34549121 + ... + 34837418.

It is an arithmetic number, because the mean of its divisors is an integer number (1277267428320).

Almost surely, 2^{10002000210311} is an apocalyptic number.

10002000210311 is a deficient number, since it is larger than the sum of its proper divisors (216139216249).

10002000210311 is an equidigital number, since it uses as much as digits as its factorization.

10002000210311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69389653.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10002000210311 its reverse (11301200020001), we get a palindrome (21303200230312).

The spelling of 10002000210311 in words is "ten trillion, two billion, two hundred ten thousand, three hundred eleven".