101143301320100 has 54 divisors (see below), whose sum is σ = 237662818899030. Its totient is φ = 37345218942720.

The previous prime is 101143301320093. The next prime is 101143301320121. The reversal of 101143301320100 is 1023103341101.

It can be written as a sum of positive squares in 9 ways, for example, as 83978786032036 + 17164515288064 = 9163994^2 + 4143008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2992388465 + ... + 2992422264.

It is an arithmetic number, because the mean of its divisors is an integer number (4401163312945).

Almost surely, 2^{101143301320100} is an apocalyptic number.

101143301320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101143301320100 is an abundant number, since it is smaller than the sum of its proper divisors (136519517578930).

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

101143301320100 is a wasteful number, since it uses less digits than its factorization.

101143301320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984810769 (or 5984810749 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101143301320100 its reverse (1023103341101), we get a palindrome (102166404661201).

The spelling of 101143301320100 in words is "one hundred one trillion, one hundred forty-three billion, three hundred one million, three hundred twenty thousand, one hundred".