101011000001280 has 576 divisors, whose sum is σ = 350688393216000. Its totient is φ = 24684747079680.

The previous prime is 101011000001267. The next prime is 101011000001281. The reversal of 101011000001280 is 82100000110101.

101011000001280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101011000001281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6104481967 + ... + 6104498513.

It is an arithmetic number, because the mean of its divisors is an integer number (608834016000).

Almost surely, 2^{101011000001280} is an apocalyptic number.

101011000001280 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 101011000001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175344196608000).

101011000001280 is an abundant number, since it is smaller than the sum of its proper divisors (249677393214720).

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

101011000001280 is a wasteful number, since it uses less digits than its factorization.

101011000001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19320 (or 19306 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101011000001280 its reverse (82100000110101), we get a palindrome (183111000111381).

The spelling of 101011000001280 in words is "one hundred one trillion, eleven billion, one thousand, two hundred eighty".