211210102000 has 40 divisors (see below), whose sum is σ = 510706031472. Its totient is φ = 84484040000.

The previous prime is 211210101997. The next prime is 211210102003. The reversal of 211210102000 is 201012112.

It is an interprime number because it is at equal distance from previous prime (211210101997) and next prime (211210102003).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52800526 + ... + 52804525.

Almost surely, 2^211210102000 is an apocalyptic number.

211210102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210102000 is an abundant number, since it is smaller than the sum of its proper divisors (299495929472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211210102000 is a wasteful number, since it uses less digits than its factorization.

211210102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105605074 (or 105605058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211210102000 its reverse (201012112), we get a palindrome (211411114112).

The spelling of 211210102000 in words is "two hundred eleven billion, two hundred ten million, one hundred two thousand".