11331100122210 has 192 divisors, whose sum is σ = 32345847106560. Its totient is φ = 2729274445440.

The previous prime is 11331100122161. The next prime is 11331100122263. The reversal of 11331100122210 is 1222100113311.

11331100122210 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 0 + 0 + 122 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 687266587 + ... + 687283073.

It is an arithmetic number, because the mean of its divisors is an integer number (168467953680).

Almost surely, 2^{11331100122210} is an apocalyptic number.

11331100122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331100122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172923553280).

11331100122210 is an abundant number, since it is smaller than the sum of its proper divisors (21014746984350).

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

11331100122210 is a wasteful number, since it uses less digits than its factorization.

11331100122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20933 (or 20930 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11331100122210 its reverse (1222100113311), we get a palindrome (12553200235521).

The spelling of 11331100122210 in words is "eleven trillion, three hundred thirty-one billion, one hundred million, one hundred twenty-two thousand, two hundred ten".