221010010101000 has 384 divisors, whose sum is σ = 752546716796160. Its totient is φ = 58500092160000.

The previous prime is 221010010100989. The next prime is 221010010101031. The reversal of 221010010101000 is 101010010122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1762560307 + ... + 1762685693.

It is an arithmetic number, because the mean of its divisors is an integer number (1959757074990).

Almost surely, 2^{221010010101000} is an apocalyptic number.

221010010101000 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 221010010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376273358398080).

221010010101000 is an abundant number, since it is smaller than the sum of its proper divisors (531536706695160).

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

221010010101000 is a wasteful number, since it uses less digits than its factorization.

221010010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126862 (or 126845 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221010010101000 its reverse (101010010122), we get a palindrome (221111020111122).

The spelling of 221010010101000 in words is "two hundred twenty-one trillion, ten billion, ten million, one hundred one thousand".