211030102002120 has 128 divisors (see below), whose sum is σ = 637645934592000. Its totient is φ = 55870970690304.

The previous prime is 211030102002053. The next prime is 211030102002179. The reversal of 211030102002120 is 21200201030112.

211030102002120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 211030102002120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513129 + ... + 20599751.

It is an arithmetic number, because the mean of its divisors is an integer number (4981608864000).

Almost surely, 2^{211030102002120} is an apocalyptic number.

211030102002120 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 211030102002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318822967296000).

211030102002120 is an abundant number, since it is smaller than the sum of its proper divisors (426615832589880).

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

211030102002120 is a wasteful number, since it uses less digits than its factorization.

211030102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19087299 (or 19087295 counting only the distinct ones).

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

Adding to 211030102002120 its reverse (21200201030112), we get a palindrome (232230303032232).

The spelling of 211030102002120 in words is "two hundred eleven trillion, thirty billion, one hundred two million, two thousand, one hundred twenty".