211031012132220 has 192 divisors, whose sum is σ = 711103583232000. Its totient is φ = 45680080170240.

The previous prime is 211031012132189. The next prime is 211031012132251. The reversal of 211031012132220 is 22231210130112.

It is an interprime number because it is at equal distance from previous prime (211031012132189) and next prime (211031012132251).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 16756431 + ... + 26511129.

It is an arithmetic number, because the mean of its divisors is an integer number (3703664496000).

Almost surely, 2^{211031012132220} is an apocalyptic number.

211031012132220 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 211031012132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355551791616000).

211031012132220 is an abundant number, since it is smaller than the sum of its proper divisors (500072571099780).

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

211031012132220 is a wasteful number, since it uses less digits than its factorization.

211031012132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9757448 (or 9757446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211031012132220 its reverse (22231210130112), we get a palindrome (233262222262332).

The spelling of 211031012132220 in words is "two hundred eleven trillion, thirty-one billion, twelve million, one hundred thirty-two thousand, two hundred twenty".