201012100011100 has 72 divisors (see below), whose sum is σ = 498519032913440. Its totient is φ = 68917186609920.

The previous prime is 201012100011053. The next prime is 201012100011101. The reversal of 201012100011100 is 1110001210102.

201012100011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012100011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36514486 + ... + 41657314.

Almost surely, 2^{201012100011100} is an apocalyptic number.

201012100011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012100011100 is an abundant number, since it is smaller than the sum of its proper divisors (297506932902340).

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

201012100011100 is a wasteful number, since it uses less digits than its factorization.

201012100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198687 (or 5198680 counting only the distinct ones).

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

Adding to 201012100011100 its reverse (1110001210102), we get a palindrome (202122101221202).

The spelling of 201012100011100 in words is "two hundred one trillion, twelve billion, one hundred million, eleven thousand, one hundred".