101064106812480 has 448 divisors, whose sum is σ = 369216426147840. Its totient is φ = 22943386828800.

The previous prime is 101064106812433. The next prime is 101064106812517. The reversal of 101064106812480 is 84218601460101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822674901 + ... + 822797739.

Almost surely, 2^{101064106812480} is an apocalyptic number.

101064106812480 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 101064106812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184608213073920).

101064106812480 is an abundant number, since it is smaller than the sum of its proper divisors (268152319335360).

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

101064106812480 is a wasteful number, since it uses less digits than its factorization.

101064106812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123698 (or 123688 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 101064106812480 in words is "one hundred one trillion, sixty-four billion, one hundred six million, eight hundred twelve thousand, four hundred eighty".