211300022010 has 256 divisors, whose sum is σ = 666778521600. Its totient is φ = 41517619200.

The previous prime is 211300021979. The next prime is 211300022077. The reversal of 211300022010 is 10220003112.

211300022010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×211300022010³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24969180 + ... + 24977640.

It is an arithmetic number, because the mean of its divisors is an integer number (2604603600).

Almost surely, 2^211300022010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211300022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333389260800).

211300022010 is an abundant number, since it is smaller than the sum of its proper divisors (455478499590).

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

211300022010 is a wasteful number, since it uses less digits than its factorization.

211300022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211300022010 its reverse (10220003112), we get a palindrome (221520025122).

The spelling of 211300022010 in words is "two hundred eleven billion, three hundred million, twenty-two thousand, ten".