1010221100 has 72 divisors (see below), whose sum is σ = 2513172480. Its totient is φ = 345280320.

The previous prime is 1010221097. The next prime is 1010221103. The reversal of 1010221100 is 11220101.

It is an interprime number because it is at equal distance from previous prime (1010221097) and next prime (1010221103).

It is a super-3 number, since 3×1010221100³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240821 + ... + 244979.

Almost surely, 2^1010221100 is an apocalyptic number.

1010221100 is a gapful number since it is divisible by the number (10) 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 1010221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256586240).

1010221100 is an abundant number, since it is smaller than the sum of its proper divisors (1502951380).

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

1010221100 is a wasteful number, since it uses less digits than its factorization.

1010221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1010221100 is about 31783.9755222659. The cubic root of 1010221100 is about 1003.3954909254.

Adding to 1010221100 its reverse (11220101), we get a palindrome (1021441201).

Subtracting from 1010221100 its reverse (11220101), we obtain a palindrome (999000999).

The spelling of 1010221100 in words is "one billion, ten million, two hundred twenty-one thousand, one hundred".