101545668787080 has 256 divisors, whose sum is σ = 349184502374400. Its totient is φ = 23141932001280.

The previous prime is 101545668787001. The next prime is 101545668787177. The reversal of 101545668787080 is 80787866545101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2062947349 + ... + 2062996571.

It is an arithmetic number, because the mean of its divisors is an integer number (1364001962400).

Almost surely, 2^{101545668787080} is an apocalyptic number.

101545668787080 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 101545668787080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174592251187200).

101545668787080 is an abundant number, since it is smaller than the sum of its proper divisors (247638833587320).

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

101545668787080 is a wasteful number, since it uses less digits than its factorization.

101545668787080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56444 (or 56440 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 66.

The spelling of 101545668787080 in words is "one hundred one trillion, five hundred forty-five billion, six hundred sixty-eight million, seven hundred eighty-seven thousand, eighty".