10002000210309 has 24 divisors (see below), whose sum is σ = 14452661195232. Its totient is φ = 6665541775200.

The previous prime is 10002000210269. The next prime is 10002000210337. The reversal of 10002000210309 is 90301200020001.

It is a happy number.

It is not a de Polignac number, because 10002000210309 - 2¹⁵ = 10002000177541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002000210291 and 10002000210300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000210359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335049234 + ... + 335079084.

It is an arithmetic number, because the mean of its divisors is an integer number (602194216468).

Almost surely, 2^{10002000210309} is an apocalyptic number.

It is an amenable number.

10002000210309 is a deficient number, since it is larger than the sum of its proper divisors (4450660984923).

10002000210309 is a wasteful number, since it uses less digits than its factorization.

10002000210309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42337 (or 42334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 10002000210309 in words is "ten trillion, two billion, two hundred ten thousand, three hundred nine".