101361000000 has 784 divisors, whose sum is σ = 380042635392. Its totient is φ = 23654400000.

The previous prime is 101360999963. The next prime is 101361000053. The reversal of 101361000000 is 163101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101361000000.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 896999944 + ... + 897000056.

Almost surely, 2^101361000000 is an apocalyptic number.

101361000000 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 101361000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190021317696).

101361000000 is an abundant number, since it is smaller than the sum of its proper divisors (278681635392).

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

101361000000 is an equidigital number, since it uses as much as digits as its factorization.

101361000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101361000000 its reverse (163101), we get a palindrome (101361163101).

The spelling of 101361000000 in words is "one hundred one billion, three hundred sixty-one million", and thus it is an aban number.