1020132223110 has 512 divisors, whose sum is σ = 3867371827200. Its totient is φ = 184158904320.

The previous prime is 1020132223081. The next prime is 1020132223133. The reversal of 1020132223110 is 113222310201.

1020132223110 is a `hidden beast` number, since 10 + 20 + 1 + 322 + 2 + 311 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4483576 + ... + 4705604.

It is an arithmetic number, because the mean of its divisors is an integer number (7553460600).

Almost surely, 2^{1020132223110} is an apocalyptic number.

1020132223110 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 1020132223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933685913600).

1020132223110 is an abundant number, since it is smaller than the sum of its proper divisors (2847239604090).

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

1020132223110 is a wasteful number, since it uses less digits than its factorization.

1020132223110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222093 (or 222087 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020132223110 its reverse (113222310201), we get a palindrome (1133354533311).

The spelling of 1020132223110 in words is "one trillion, twenty billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred ten".