101028731427360 has 768 divisors, whose sum is σ = 402653238865920. Its totient is φ = 23419060346880.

The previous prime is 101028731427331. The next prime is 101028731427391. The reversal of 101028731427360 is 63724137820101.

101028731427360 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 8 + 7 + 314 + 273 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3631892172 + ... + 3631919988.

It is an arithmetic number, because the mean of its divisors is an integer number (524288071440).

Almost surely, 2^{101028731427360} is an apocalyptic number.

101028731427360 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 101028731427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201326619432960).

101028731427360 is an abundant number, since it is smaller than the sum of its proper divisors (301624507438560).

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

101028731427360 is a wasteful number, since it uses less digits than its factorization.

101028731427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31198 (or 31184 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 101028731427360 in words is "one hundred one trillion, twenty-eight billion, seven hundred thirty-one million, four hundred twenty-seven thousand, three hundred sixty".