101098080720 has 640 divisors, whose sum is σ = 440201825280. Its totient is φ = 20752588800.

The previous prime is 101098080701. The next prime is 101098080731. The reversal of 101098080720 is 27080890101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7265770 + ... + 7279670.

It is an arithmetic number, because the mean of its divisors is an integer number (687815352).

Almost surely, 2^101098080720 is an apocalyptic number.

101098080720 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 101098080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220100912640).

101098080720 is an abundant number, since it is smaller than the sum of its proper divisors (339103744560).

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

101098080720 is a wasteful number, since it uses less digits than its factorization.

101098080720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13980 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 101098080720 in words is "one hundred one billion, ninety-eight million, eighty thousand, seven hundred twenty".