101348021698560 has 2720 divisors, whose sum is σ = 453948742894080. Its totient is φ = 21325053689856.

The previous prime is 101348021698531. The next prime is 101348021698579. The reversal of 101348021698560 is 65896120843101.

It is a happy number.

101348021698560 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 480 + 2 + 16 + 98 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101348021698497 and 101348021698506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 276152647497 + ... + 276152647863.

Almost surely, 2^{101348021698560} is an apocalyptic number.

101348021698560 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 101348021698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226974371447040).

101348021698560 is an abundant number, since it is smaller than the sum of its proper divisors (352600721195520).

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

101348021698560 is an frugal number, since it uses more digits than its factorization.

101348021698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 101348021698560 in words is "one hundred one trillion, three hundred forty-eight billion, twenty-one million, six hundred ninety-eight thousand, five hundred sixty".