101663760000 has 640 divisors, whose sum is σ = 372856397760. Its totient is φ = 24330240000.

The previous prime is 101663759963. The next prime is 101663760001. The reversal of 101663760000 is 67366101.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 101663760000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101663760001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 256079802 + ... + 256080198.

Almost surely, 2^101663760000 is an apocalyptic number.

101663760000 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 101663760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186428198880).

101663760000 is an abundant number, since it is smaller than the sum of its proper divisors (271192637760).

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

101663760000 is an equidigital number, since it uses as much as digits as its factorization.

101663760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 101663760000 in words is "one hundred one billion, six hundred sixty-three million, seven hundred sixty thousand".