101201311013760 has 384 divisors, whose sum is σ = 350256522470400. Its totient is φ = 26925637644288.

The previous prime is 101201311013749. The next prime is 101201311013783. The reversal of 101201311013760 is 67310113102101.

101201311013760 is a `hidden beast` number, since 10 + 1 + 201 + 311 + 0 + 137 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4633960921 + ... + 4633982759.

It is an arithmetic number, because the mean of its divisors is an integer number (912126360600).

Almost surely, 2^{101201311013760} is an apocalyptic number.

101201311013760 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 101201311013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175128261235200).

101201311013760 is an abundant number, since it is smaller than the sum of its proper divisors (249055211456640).

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

101201311013760 is a wasteful number, since it uses less digits than its factorization.

101201311013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23658 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 101201311013760 its reverse (67310113102101), we get a palindrome (168511424115861).

The spelling of 101201311013760 in words is "one hundred one trillion, two hundred one billion, three hundred eleven million, thirteen thousand, seven hundred sixty".