1200202200100 has 72 divisors (see below), whose sum is σ = 2701313308008. Its totient is φ = 462480768000.

The previous prime is 1200202200059. The next prime is 1200202200107. The reversal of 1200202200100 is 10022020021.

It can be written as a sum of positive squares in 12 ways, for example, as 54356124736 + 1145846075364 = 233144^2 + 1070442^2 .

It is a super-2 number, since 2×1200202200100² (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 not an unprimeable number, because it can be changed into a prime (1200202200107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232137 + ... + 1979536.

It is an arithmetic number, because the mean of its divisors is an integer number (37518240389).

Almost surely, 2^{1200202200100} is an apocalyptic number.

1200202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200202200100 is an abundant number, since it is smaller than the sum of its proper divisors (1501111107908).

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

1200202200100 is a wasteful number, since it uses less digits than its factorization.

1200202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211825 (or 3211818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1200202200100 its reverse (10022020021), we get a palindrome (1210224220121).

The spelling of 1200202200100 in words is "one trillion, two hundred billion, two hundred two million, two hundred thousand, one hundred".