1010110211200 has 96 divisors (see below), whose sum is σ = 2519994508020. Its totient is φ = 400043520000.

The previous prime is 1010110211183. The next prime is 1010110211249. The reversal of 1010110211200 is 21120110101.

It can be written as a sum of positive squares in 6 ways, for example, as 673830840384 + 336279370816 = 820872^2 + 579896^2 .

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

It is an unprimeable number.

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, 1239471 + ... + 1885870.

Almost surely, 2^{1010110211200} is an apocalyptic number.

1010110211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010110211200 is an abundant number, since it is smaller than the sum of its proper divisors (1509884296820).

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

1010110211200 is a wasteful number, since it uses less digits than its factorization.

1010110211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125466 (or 3125449 counting only the distinct ones).

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

Adding to 1010110211200 its reverse (21120110101), we get a palindrome (1031230321301).

The spelling of 1010110211200 in words is "one trillion, ten billion, one hundred ten million, two hundred eleven thousand, two hundred".