1100120021200 has 30 divisors (see below), whose sum is σ = 2643038351894. Its totient is φ = 440048008320.

The previous prime is 1100120021197. The next prime is 1100120021213. The reversal of 1100120021200 is 21200210011.

It can be written as a sum of positive squares in 3 ways, for example, as 20407836736 + 1079712184464 = 142856^2 + 1039092^2 .

It is a super-2 number, since 2×1100120021200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1375149627 + ... + 1375150426.

Almost surely, 2^{1100120021200} is an apocalyptic number.

1100120021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100120021200 is an abundant number, since it is smaller than the sum of its proper divisors (1542918330694).

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

1100120021200 is a wasteful number, since it uses less digits than its factorization.

1100120021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750300071 (or 2750300060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100120021200 its reverse (21200210011), we get a palindrome (1121320231211).

It can be divided in two parts, 11001200 and 21200, that added together give a square (11022400 = 3320²).

The spelling of 1100120021200 in words is "one trillion, one hundred billion, one hundred twenty million, twenty-one thousand, two hundred".