211002213120 has 144 divisors (see below), whose sum is σ = 674094537312. Its totient is φ = 56250040320.

The previous prime is 211002213109. The next prime is 211002213131. The reversal of 211002213120 is 21312200112.

It is an interprime number because it is at equal distance from previous prime (211002213109) and next prime (211002213131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211002213120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17047254 + ... + 17059626.

Almost surely, 2^211002213120 is an apocalyptic number.

211002213120 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 211002213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337047268656).

211002213120 is an abundant number, since it is smaller than the sum of its proper divisors (463092324192).

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

211002213120 is a wasteful number, since it uses less digits than its factorization.

211002213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16838 (or 16824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211002213120 its reverse (21312200112), we get a palindrome (232314413232).

The spelling of 211002213120 in words is "two hundred eleven billion, two million, two hundred thirteen thousand, one hundred twenty".