101982711960000 has 1120 divisors, whose sum is σ = 390628558848000. Its totient is φ = 26049848832000.

The previous prime is 101982711959983. The next prime is 101982711960001. The reversal of 101982711960000 is 69117289101.

It is a happy number.

101982711960000 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 8 + 27 + 1 + 19 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101982711960001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3977627181 + ... + 3977652819.

Almost surely, 2^{101982711960000} is an apocalyptic number.

101982711960000 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 101982711960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195314279424000).

101982711960000 is an abundant number, since it is smaller than the sum of its proper divisors (288645846888000).

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

101982711960000 is a wasteful number, since it uses less digits than its factorization.

101982711960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25836 (or 25805 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 101982711960000 in words is "one hundred one trillion, nine hundred eighty-two billion, seven hundred eleven million, nine hundred sixty thousand".