211210202001000 has 256 divisors, whose sum is σ = 662612161536000. Its totient is φ = 56012200992000.

The previous prime is 211210202000753. The next prime is 211210202001011. The reversal of 211210202001000 is 100202012112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231525255 + ... + 1231696745.

It is an arithmetic number, because the mean of its divisors is an integer number (2588328756000).

Almost surely, 2^{211210202001000} is an apocalyptic number.

211210202001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211210202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331306080768000).

211210202001000 is an abundant number, since it is smaller than the sum of its proper divisors (451401959535000).

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

211210202001000 is a wasteful number, since it uses less digits than its factorization.

211210202001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173777 (or 173763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211210202001000 its reverse (100202012112), we get a palindrome (211310404013112).

The spelling of 211210202001000 in words is "two hundred eleven trillion, two hundred ten billion, two hundred two million, one thousand".