100201011111200 has 36 divisors (see below), whose sum is σ = 244615718377170. Its totient is φ = 40080404444160.

The previous prime is 100201011111197. The next prime is 100201011111203. The reversal of 100201011111200 is 2111110102001.

100201011111200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100201011111197) and next prime (100201011111203).

It can be written as a sum of positive squares in 3 ways, for example, as 88792099777936 + 11408911333264 = 9422956^2 + 3377708^2 .

It is not an unprimeable number, because it can be changed into a prime (100201011111203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62625631145 + ... + 62625632744.

Almost surely, 2^{100201011111200} is an apocalyptic number.

100201011111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201011111200 is an abundant number, since it is smaller than the sum of its proper divisors (144414707265970).

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

100201011111200 is a wasteful number, since it uses less digits than its factorization.

100201011111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125251263909 (or 125251263896 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100201011111200 its reverse (2111110102001), we get a palindrome (102312121213201).

The spelling of 100201011111200 in words is "one hundred trillion, two hundred one billion, eleven million, one hundred eleven thousand, two hundred".