101121984 has 168 divisors, whose sum is σ = 320954400. Its totient is φ = 30277632.

The previous prime is 101121983. The next prime is 101121991. The reversal of 101121984 is 489121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224992 + ... + 225440.

Almost surely, 2^101121984 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 101121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160477200).

101121984 is an abundant number, since it is smaller than the sum of its proper divisors (219832416).

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

101121984 is a wasteful number, since it uses less digits than its factorization.

101121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 101121984 is about 10055.9427206006. The cubic root of 101121984 is about 465.8883607140. Note that the first 3 decimals are identical.

The spelling of 101121984 in words is "one hundred one million, one hundred twenty-one thousand, nine hundred eighty-four".