101368750080 has 896 divisors, whose sum is σ = 380484034560. Its totient is φ = 22837985280.

The previous prime is 101368750079. The next prime is 101368750139. The reversal of 101368750080 is 80057863101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138974676 + ... + 1138974764.

It is an arithmetic number, because the mean of its divisors is an integer number (424647360).

Almost surely, 2^101368750080 is an apocalyptic number.

101368750080 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 101368750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190242017280).

101368750080 is an abundant number, since it is smaller than the sum of its proper divisors (279115284480).

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

101368750080 is a wasteful number, since it uses less digits than its factorization.

101368750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 101368750080 in words is "one hundred one billion, three hundred sixty-eight million, seven hundred fifty thousand, eighty".