221924042900100 has 144 divisors (see below), whose sum is σ = 713614564703040. Its totient is φ = 59165654688000.

The previous prime is 221924042900099. The next prime is 221924042900149. The reversal of 221924042900100 is 1009240429122.

221924042900100 is a `hidden beast` number, since 2 + 2 + 1 + 92 + 40 + 429 + 0 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1560019 + ... + 21125381.

Almost surely, 2^{221924042900100} is an apocalyptic number.

221924042900100 is a gapful number since it is divisible by the number (20) 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 221924042900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356807282351520).

221924042900100 is an abundant number, since it is smaller than the sum of its proper divisors (491690521802940).

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

221924042900100 is a wasteful number, since it uses less digits than its factorization.

221924042900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19569587 (or 19569574 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 221924042900100 in words is "two hundred twenty-one trillion, nine hundred twenty-four billion, forty-two million, nine hundred thousand, one hundred".