201111010000100 has 36 divisors (see below), whose sum is σ = 436411511602164. Its totient is φ = 80444289732480.

The previous prime is 201111010000099. The next prime is 201111010000163. The reversal of 201111010000100 is 1000010111102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5006612102116 + 196104397897984 = 2237546^2 + 14003728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124988294 + ... + 126587106.

It is an arithmetic number, because the mean of its divisors is an integer number (12122541988949).

Almost surely, 2^{201111010000100} is an apocalyptic number.

201111010000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111010000100 is an abundant number, since it is smaller than the sum of its proper divisors (235300501602064).

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

201111010000100 is a wasteful number, since it uses less digits than its factorization.

201111010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856704 (or 2856697 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201111010000100 its reverse (1000010111102), we get a palindrome (202111020111202).

The spelling of 201111010000100 in words is "two hundred one trillion, one hundred eleven billion, ten million, one hundred", and thus it is an aban number.