101001361027680 has 576 divisors, whose sum is σ = 388465581067200. Its totient is φ = 23745341030400.

The previous prime is 101001361027571. The next prime is 101001361027733. The reversal of 101001361027680 is 86720163100101.

101001361027680 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 13 + 610 + 27 + 6 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 40175730 + ... + 42615630.

It is an arithmetic number, because the mean of its divisors is an integer number (674419411575).

Almost surely, 2^{101001361027680} is an apocalyptic number.

101001361027680 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 101001361027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194232790533600).

101001361027680 is an abundant number, since it is smaller than the sum of its proper divisors (287464220039520).

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

101001361027680 is a wasteful number, since it uses less digits than its factorization.

101001361027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440047 (or 2440036 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 101001361027680 in words is "one hundred one trillion, one billion, three hundred sixty-one million, twenty-seven thousand, six hundred eighty".