101472100497984 has 112 divisors (see below), whose sum is σ = 273216047456576. Its totient is φ = 33228515174400.

The previous prime is 101472100497953. The next prime is 101472100498009. The reversal of 101472100497984 is 489794001274101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4156914 + ... + 14839950.

It is an arithmetic number, because the mean of its divisors is an integer number (2439428995148).

Almost surely, 2^{101472100497984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101472100497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136608023728288).

101472100497984 is an abundant number, since it is smaller than the sum of its proper divisors (171743946958592).

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

101472100497984 is a wasteful number, since it uses less digits than its factorization.

101472100497984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683924 (or 10683914 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 101472100497984 in words is "one hundred one trillion, four hundred seventy-two billion, one hundred million, four hundred ninety-seven thousand, nine hundred eighty-four".