1022021100 has 216 divisors, whose sum is σ = 3383845920. Its totient is φ = 257495040.

The previous prime is 1022021089. The next prime is 1022021111. The reversal of 1022021100 is 11202201.

It is an interprime number because it is at equal distance from previous prime (1022021089) and next prime (1022021111).

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 71 ways as a sum of consecutive naturals, for example, 2007646 + ... + 2008154.

Almost surely, 2^1022021100 is an apocalyptic number.

1022021100 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 1022021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691922960).

1022021100 is an abundant number, since it is smaller than the sum of its proper divisors (2361824820).

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

1022021100 is a wasteful number, since it uses less digits than its factorization.

1022021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022021100 is about 31969.0647345211. The cubic root of 1022021100 is about 1007.2871353373.

Adding to 1022021100 its reverse (11202201), we get a palindrome (1033223301).

It can be divided in two parts, 1022021 and 100, that added together give a square (1022121 = 1011²).

The spelling of 1022021100 in words is "one billion, twenty-two million, twenty-one thousand, one hundred".