211012002130020 has 288 divisors, whose sum is σ = 731708192662272. Its totient is φ = 44488766859264.

The previous prime is 211012002129949. The next prime is 211012002130087. The reversal of 211012002130020 is 20031200210112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96372934 + ... + 98538146.

It is an arithmetic number, because the mean of its divisors is an integer number (2540653446744).

Almost surely, 2^{211012002130020} is an apocalyptic number.

211012002130020 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 211012002130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365854096331136).

211012002130020 is an abundant number, since it is smaller than the sum of its proper divisors (520696190532252).

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

211012002130020 is a wasteful number, since it uses less digits than its factorization.

211012002130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166631 (or 2166616 counting only the distinct ones).

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

Adding to 211012002130020 its reverse (20031200210112), we get a palindrome (231043202340132).

The spelling of 211012002130020 in words is "two hundred eleven trillion, twelve billion, two million, one hundred thirty thousand, twenty".