100101385101312 has 1344 divisors, whose sum is σ = 363387618607104. Its totient is φ = 26925453803520.

The previous prime is 100101385101269. The next prime is 100101385101439. The reversal of 100101385101312 is 213101583101001.

100101385101312 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 13 + 8 + 510 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15982973893 + ... + 15982980155.

It is an arithmetic number, because the mean of its divisors is an integer number (270377692416).

Almost surely, 2^{100101385101312} is an apocalyptic number.

100101385101312 is a gapful number since it is divisible by the number (12) 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 100101385101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181693809303552).

100101385101312 is an abundant number, since it is smaller than the sum of its proper divisors (263286233505792).

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

100101385101312 is an frugal number, since it uses more digits than its factorization.

100101385101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 100101385101312 in words is "one hundred trillion, one hundred one billion, three hundred eighty-five million, one hundred one thousand, three hundred twelve".