1001111100228 has 36 divisors (see below), whose sum is σ = 2592308015388. Its totient is φ = 325564584960.

The previous prime is 1001111100221. The next prime is 1001111100277. The reversal of 1001111100228 is 8220011111001.

It can be written as a sum of positive squares in 2 ways, for example, as 257639486724 + 743471613504 = 507582^2 + 862248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1001111100228.

It is not an unprimeable number, because it can be changed into a prime (1001111100221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339128301 + ... + 339131252.

It is an arithmetic number, because the mean of its divisors is an integer number (72008555983).

Almost surely, 2^{1001111100228} is an apocalyptic number.

1001111100228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1001111100228 is an abundant number, since it is smaller than the sum of its proper divisors (1591196915160).

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

1001111100228 is a wasteful number, since it uses less digits than its factorization.

1001111100228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678259604 (or 678259599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1001111100228 its reverse (8220011111001), we get a palindrome (9221122211229).

The spelling of 1001111100228 in words is "one trillion, one billion, one hundred eleven million, one hundred thousand, two hundred twenty-eight".