1010140321120 has 192 divisors, whose sum is σ = 2811535816320. Its totient is φ = 335717056512.

The previous prime is 1010140321111. The next prime is 1010140321129. The reversal of 1010140321120 is 211230410101.

It is an interprime number because it is at equal distance from previous prime (1010140321111) and next prime (1010140321129).

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 = 1010140321094 and 1010140321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010140321129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11102052 + ... + 11192668.

It is an arithmetic number, because the mean of its divisors is an integer number (14643415710).

Almost surely, 2^{1010140321120} is an apocalyptic number.

1010140321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010140321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405767908160).

1010140321120 is an abundant number, since it is smaller than the sum of its proper divisors (1801395495200).

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

1010140321120 is a wasteful number, since it uses less digits than its factorization.

1010140321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90945 (or 90937 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1010140321120 its reverse (211230410101), we get a palindrome (1221370731221).

The spelling of 1010140321120 in words is "one trillion, ten billion, one hundred forty million, three hundred twenty-one thousand, one hundred twenty".