102102001000211 has 8 divisors (see below), whose sum is σ = 102242044657200. Its totient is φ = 101961992190240.

The previous prime is 102102001000189. The next prime is 102102001000253. The reversal of 102102001000211 is 112000100201201.

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 102102001000211 - 2³⁰ = 102100927258387 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102102001000192 and 102102001000201.

It is not an unprimeable number, because it can be changed into a prime (102102001005211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2845016 + ... + 14570453.

It is an arithmetic number, because the mean of its divisors is an integer number (12780255582150).

Almost surely, 2^{102102001000211} is an apocalyptic number.

102102001000211 is a deficient number, since it is larger than the sum of its proper divisors (140043656989).

102102001000211 is an equidigital number, since it uses as much as digits as its factorization.

102102001000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423509.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102102001000211 its reverse (112000100201201), we get a palindrome (214102101201412).

The spelling of 102102001000211 in words is "one hundred two trillion, one hundred two billion, one million, two hundred eleven", and thus it is an aban number.