221013102000 has 320 divisors, whose sum is σ = 719570801664. Its totient is φ = 58359347200.

The previous prime is 221013101999. The next prime is 221013102001. The reversal of 221013102000 is 201310122.

221013102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221013101999) and next prime (221013102001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221013102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358205692 + ... + 358206308.

Almost surely, 2^221013102000 is an apocalyptic number.

221013102000 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 221013102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359785400832).

221013102000 is an abundant number, since it is smaller than the sum of its proper divisors (498557699664).

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

221013102000 is a wasteful number, since it uses less digits than its factorization.

221013102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221013102000 its reverse (201310122), we get a palindrome (221214412122).

The spelling of 221013102000 in words is "two hundred twenty-one billion, thirteen million, one hundred two thousand".