10002002000211 has 48 divisors (see below), whose sum is σ = 15619915190880. Its totient is φ = 6130879511040.

The previous prime is 10002002000173. The next prime is 10002002000279. The reversal of 10002002000211 is 11200020020001.

It is a de Polignac number, because none of the positive numbers 2^k-10002002000211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002002000193 and 10002002000202.

It is not an unprimeable number, because it can be changed into a prime (10002002040211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47777455 + ... + 47986343.

It is an arithmetic number, because the mean of its divisors is an integer number (325414899810).

Almost surely, 2^{10002002000211} is an apocalyptic number.

10002002000211 is a deficient number, since it is larger than the sum of its proper divisors (5617913190669).

10002002000211 is a wasteful number, since it uses less digits than its factorization.

10002002000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210516 (or 210513 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002002000211 its reverse (11200020020001), we get a palindrome (21202022020212).

The spelling of 10002002000211 in words is "ten trillion, two billion, two million, two hundred eleven", and thus it is an aban number.