101300440362000 has 480 divisors, whose sum is σ = 362159095334400. Its totient is φ = 24340338176000.

The previous prime is 101300440361963. The next prime is 101300440362013. The reversal of 101300440362000 is 263044003101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81420601 + ... + 82655399.

It is an arithmetic number, because the mean of its divisors is an integer number (754498115280).

Almost surely, 2^{101300440362000} is an apocalyptic number.

101300440362000 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 101300440362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181079547667200).

101300440362000 is an abundant number, since it is smaller than the sum of its proper divisors (260858654972400).

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

101300440362000 is a wasteful number, since it uses less digits than its factorization.

101300440362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234960 (or 1234933 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101300440362000 its reverse (263044003101), we get a palindrome (101563484365101).

The spelling of 101300440362000 in words is "one hundred one trillion, three hundred billion, four hundred forty million, three hundred sixty-two thousand".