100200000211200 has 162 divisors, whose sum is σ = 358237615544354. Its totient is φ = 26720000040960.

The previous prime is 100200000211163. The next prime is 100200000211219. The reversal of 100200000211200 is 2112000002001.

It can be written as a sum of positive squares in 3 ways, for example, as 18821992218624 + 81378007992576 = 4338432^2 + 9020976^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 869734069 + ... + 869849268.

Almost surely, 2^{100200000211200} is an apocalyptic number.

100200000211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200000211200 is an abundant number, since it is smaller than the sum of its proper divisors (258037615333154).

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

100200000211200 is a wasteful number, since it uses less digits than its factorization.

100200000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739583369 (or 1739583347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200000211200 its reverse (2112000002001), we get a palindrome (102312000213201).

The spelling of 100200000211200 in words is "one hundred trillion, two hundred billion, two hundred eleven thousand, two hundred".