1010130223120 has 20 divisors (see below), whose sum is σ = 2348552768940. Its totient is φ = 404052089216.

The previous prime is 1010130223103. The next prime is 1010130223127. The reversal of 1010130223120 is 213220310101.

It can be written as a sum of positive squares in 2 ways, for example, as 375641506816 + 634488716304 = 612896^2 + 796548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1010130223094 and 1010130223103.

It is not an unprimeable number, because it can be changed into a prime (1010130223127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6313313815 + ... + 6313313974.

It is an arithmetic number, because the mean of its divisors is an integer number (117427638447).

Almost surely, 2^{1010130223120} is an apocalyptic number.

1010130223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010130223120 is an abundant number, since it is smaller than the sum of its proper divisors (1338422545820).

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

1010130223120 is a wasteful number, since it uses less digits than its factorization.

1010130223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626627802 (or 12626627796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1010130223120 its reverse (213220310101), we get a palindrome (1223350533221).

The spelling of 1010130223120 in words is "one trillion, ten billion, one hundred thirty million, two hundred twenty-three thousand, one hundred twenty".