101300361140 has 96 divisors (see below), whose sum is σ = 237677860224. Its totient is φ = 35956776960.

The previous prime is 101300361139. The next prime is 101300361161. The reversal of 101300361140 is 41163003101.

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

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 31 ways as a sum of consecutive naturals, for example, 1525307 + ... + 1590333.

It is an arithmetic number, because the mean of its divisors is an integer number (2475811044).

Almost surely, 2^101300361140 is an apocalyptic number.

101300361140 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 101300361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118838930112).

101300361140 is an abundant number, since it is smaller than the sum of its proper divisors (136377499084).

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

101300361140 is a wasteful number, since it uses less digits than its factorization.

101300361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65217 (or 65215 counting only the distinct ones).

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

Adding to 101300361140 its reverse (41163003101), we get a palindrome (142463364241).

The spelling of 101300361140 in words is "one hundred one billion, three hundred million, three hundred sixty-one thousand, one hundred forty".