1010011112200 has 48 divisors (see below), whose sum is σ = 2348366608980. Its totient is φ = 403988828160.

The previous prime is 1010011112197. The next prime is 1010011112203. The reversal of 1010011112200 is 22111100101.

It is an interprime number because it is at equal distance from previous prime (1010011112197) and next prime (1010011112203).

It can be written as a sum of positive squares in 6 ways, for example, as 32890724164 + 977120388036 = 181358^2 + 988494^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010011112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6057144 + ... + 6221656.

Almost surely, 2^{1010011112200} is an apocalyptic number.

1010011112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010011112200 is an abundant number, since it is smaller than the sum of its proper divisors (1338355496780).

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

1010011112200 is a wasteful number, since it uses less digits than its factorization.

1010011112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195226 (or 195217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010011112200 its reverse (22111100101), we get a palindrome (1032122212301).

It can be divided in two parts, 1010011 and 112200, that added together give a palindrome (1122211).

The spelling of 1010011112200 in words is "one trillion, ten billion, eleven million, one hundred twelve thousand, two hundred".