10031132221110 has 1536 divisors, whose sum is σ = 36928452427776. Its totient is φ = 1822818816000.

The previous prime is 10031132221079. The next prime is 10031132221147. The reversal of 10031132221110 is 1112223113001.

10031132221110 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 322 + 21 + 1 + 10 = 666.

It is a super-2 number, since 2×10031132221110² (a number of 27 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 18338449857 + ... + 18338450403.

It is an arithmetic number, because the mean of its divisors is an integer number (24041961216).

Almost surely, 2^{10031132221110} is an apocalyptic number.

10031132221110 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 10031132221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18464226213888).

10031132221110 is an abundant number, since it is smaller than the sum of its proper divisors (26897320206666).

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

10031132221110 is a wasteful number, since it uses less digits than its factorization.

10031132221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 767 counting only the distinct ones).

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

Adding to 10031132221110 its reverse (1112223113001), we get a palindrome (11143355334111).

It can be divided in two parts, 1003113 and 2221110, that added together give a palindrome (3224223).

The spelling of 10031132221110 in words is "ten trillion, thirty-one billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred ten".