1011101021200 has 60 divisors (see below), whose sum is σ = 2453221491588. Its totient is φ = 400436032000.

The previous prime is 1011101021167. The next prime is 1011101021239. The reversal of 1011101021200 is 21201011101.

It can be written as a sum of positive squares in 6 ways, for example, as 15312577536 + 995788443664 = 123744^2 + 997892^2 .

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, 12473227 + ... + 12554026.

Almost surely, 2^{1011101021200} is an apocalyptic number.

1011101021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011101021200 is an abundant number, since it is smaller than the sum of its proper divisors (1442120470388).

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

1011101021200 is a wasteful number, since it uses less digits than its factorization.

1011101021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027372 (or 25027361 counting only the distinct ones).

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

Adding to 1011101021200 its reverse (21201011101), we get a palindrome (1032302032301).

The spelling of 1011101021200 in words is "one trillion, eleven billion, one hundred one million, twenty-one thousand, two hundred".