211000210012020 has 192 divisors, whose sum is σ = 694113789358080. Its totient is φ = 47215035302400.

The previous prime is 211000210011839. The next prime is 211000210012057. The reversal of 211000210012020 is 20210012000112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211000210011987 and 211000210012005.

It is a congruent number.

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, 231986901 + ... + 232894659.

It is an arithmetic number, because the mean of its divisors is an integer number (3615175986240).

Almost surely, 2^{211000210012020} is an apocalyptic number.

211000210012020 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 211000210012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347056894679040).

211000210012020 is an abundant number, since it is smaller than the sum of its proper divisors (483113579346060).

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

211000210012020 is a wasteful number, since it uses less digits than its factorization.

211000210012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934886 (or 934884 counting only the distinct ones).

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

Adding to 211000210012020 its reverse (20210012000112), we get a palindrome (231210222012132).

The spelling of 211000210012020 in words is "two hundred eleven trillion, two hundred ten million, twelve thousand, twenty".