1022401100 has 72 divisors (see below), whose sum is σ = 2541504000. Its totient is φ = 349715520.

The previous prime is 1022401091. The next prime is 1022401123. The reversal of 1022401100 is 11042201.

1022401100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347837 + ... + 350763.

Almost surely, 2^1022401100 is an apocalyptic number.

1022401100 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 1022401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270752000).

1022401100 is an abundant number, since it is smaller than the sum of its proper divisors (1519102900).

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

1022401100 is a wasteful number, since it uses less digits than its factorization.

1022401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1022401100 is about 31975.0074276770. The cubic root of 1022401100 is about 1007.4119604450.

Adding to 1022401100 its reverse (11042201), we get a palindrome (1033443301).

The spelling of 1022401100 in words is "one billion, twenty-two million, four hundred one thousand, one hundred".