101098702561920 has 512 divisors, whose sum is σ = 369062852014080. Its totient is φ = 23059721945088.

The previous prime is 101098702561919. The next prime is 101098702561951. The reversal of 101098702561920 is 29165207890101.

101098702561920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 13958121819 + ... + 13958129061.

It is an arithmetic number, because the mean of its divisors is an integer number (720825882840).

Almost surely, 2^{101098702561920} is an apocalyptic number.

101098702561920 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 101098702561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184531426007040).

101098702561920 is an abundant number, since it is smaller than the sum of its proper divisors (267964149452160).

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

101098702561920 is a wasteful number, since it uses less digits than its factorization.

101098702561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 101098702561920 in words is "one hundred one trillion, ninety-eight billion, seven hundred two million, five hundred sixty-one thousand, nine hundred twenty".