101001482196912 has 480 divisors, whose sum is σ = 336877500960000. Its totient is φ = 27904525608960.

The previous prime is 101001482196851. The next prime is 101001482197001. The reversal of 101001482196912 is 219691284100101.

It is a happy number.

101001482196912 is a `hidden beast` number, since 1 + 0 + 100 + 1 + 482 + 1 + 9 + 69 + 1 + 2 = 666.

101001482196912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 267756214 + ... + 268133162.

It is an arithmetic number, because the mean of its divisors is an integer number (701828127000).

Almost surely, 2^{101001482196912} is an apocalyptic number.

101001482196912 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 101001482196912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168438750480000).

101001482196912 is an abundant number, since it is smaller than the sum of its proper divisors (235876018763088).

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

101001482196912 is a wasteful number, since it uses less digits than its factorization.

101001482196912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377329 (or 377320 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 101001482196912 in words is "one hundred one trillion, one billion, four hundred eighty-two million, one hundred ninety-six thousand, nine hundred twelve".