201000012100100 has 18 divisors (see below), whose sum is σ = 436170026257434. Its totient is φ = 80400004840000.

The previous prime is 201000012100081. The next prime is 201000012100103. The reversal of 201000012100100 is 1001210000102.

It can be written as a sum of positive squares in 3 ways, for example, as 40608526840324 + 160391485259776 = 6372482^2 + 12664576^2 .

It is not an unprimeable number, because it can be changed into a prime (201000012100103) 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 5 ways as a sum of consecutive naturals, for example, 1005000060401 + ... + 1005000060600.

It is an arithmetic number, because the mean of its divisors is an integer number (24231668125413).

Almost surely, 2^{201000012100100} is an apocalyptic number.

201000012100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000012100100 is an abundant number, since it is smaller than the sum of its proper divisors (235170014157334).

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

201000012100100 is a wasteful number, since it uses less digits than its factorization.

201000012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010000121015 (or 2010000121008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201000012100100 its reverse (1001210000102), we get a palindrome (202001222100202).

The spelling of 201000012100100 in words is "two hundred one trillion, twelve million, one hundred thousand, one hundred".