100021688475048 has 192 divisors, whose sum is σ = 284528350080000. Its totient is φ = 31705079049216.

The previous prime is 100021688475041. The next prime is 100021688475053. The reversal of 100021688475048 is 840574886120001.

100021688475048 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 16 + 88 + 47 + 504 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100021688474985 and 100021688475003.

It is not an unprimeable number, because it can be changed into a prime (100021688475041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89469028 + ... + 90580076.

It is an arithmetic number, because the mean of its divisors is an integer number (1481918490000).

Almost surely, 2^{100021688475048} is an apocalyptic number.

100021688475048 is a gapful number since it is divisible by the number (18) 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 100021688475048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142264175040000).

100021688475048 is an abundant number, since it is smaller than the sum of its proper divisors (184506661604952).

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

100021688475048 is a wasteful number, since it uses less digits than its factorization.

100021688475048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111864 (or 1111857 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 100021688475048 in words is "one hundred trillion, twenty-one billion, six hundred eighty-eight million, four hundred seventy-five thousand, forty-eight".