211011122010 has 128 divisors (see below), whose sum is σ = 551555536896. Its totient is φ = 51354927360.

The previous prime is 211011122009. The next prime is 211011122029. The reversal of 211011122010 is 10221110112.

It is a super-2 number, since 2×211011122010² (a number of 23 digits) contains 22 as substring.

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, 27432265 + ... + 27439955.

It is an arithmetic number, because the mean of its divisors is an integer number (4309027632).

Almost surely, 2^211011122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211011122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275777768448).

211011122010 is an abundant number, since it is smaller than the sum of its proper divisors (340544414886).

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

211011122010 is a wasteful number, since it uses less digits than its factorization.

211011122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211011122010 its reverse (10221110112), we get a palindrome (221232232122).

The spelling of 211011122010 in words is "two hundred eleven billion, eleven million, one hundred twenty-two thousand, ten".