10132220131110 has 384 divisors, whose sum is σ = 33203768832000. Its totient is φ = 2082465423360.

The previous prime is 10132220131093. The next prime is 10132220131211. The reversal of 10132220131110 is 1113102223101.

10132220131110 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 20 + 1 + 311 + 10 = 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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246763702 + ... + 246804758.

It is an arithmetic number, because the mean of its divisors is an integer number (86468148000).

Almost surely, 2^{10132220131110} is an apocalyptic number.

10132220131110 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 10132220131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601884416000).

10132220131110 is an abundant number, since it is smaller than the sum of its proper divisors (23071548700890).

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

10132220131110 is a wasteful number, since it uses less digits than its factorization.

10132220131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41476 (or 41473 counting only the distinct ones).

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

Adding to 10132220131110 its reverse (1113102223101), we get a palindrome (11245322354211).

The spelling of 10132220131110 in words is "ten trillion, one hundred thirty-two billion, two hundred twenty million, one hundred thirty-one thousand, one hundred ten".