101040142110320 has 160 divisors (see below), whose sum is σ = 271724322816000. Its totient is φ = 34225748702208.

The previous prime is 101040142110301. The next prime is 101040142110343. The reversal of 101040142110320 is 23011241040101.

It is a super-2 number, since 2×101040142110320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101040142110292 and 101040142110301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14025506 + ... + 19969854.

It is an arithmetic number, because the mean of its divisors is an integer number (1698277017600).

Almost surely, 2^{101040142110320} is an apocalyptic number.

101040142110320 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 101040142110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862161408000).

101040142110320 is an abundant number, since it is smaller than the sum of its proper divisors (170684180705680).

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

101040142110320 is a wasteful number, since it uses less digits than its factorization.

101040142110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944735 (or 5944729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101040142110320 its reverse (23011241040101), we get a palindrome (124051383150421).

The spelling of 101040142110320 in words is "one hundred one trillion, forty billion, one hundred forty-two million, one hundred ten thousand, three hundred twenty".