201121110000100 has 18 divisors (see below), whose sum is σ = 436432808700434. Its totient is φ = 80448444000000.

The previous prime is 201121110000091. The next prime is 201121110000119. The reversal of 201121110000100 is 1000011121102.

It can be written as a sum of positive squares in 3 ways, for example, as 4490491570084 + 196630618430016 = 2119078^2 + 14022504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005605549901 + ... + 1005605550100.

Almost surely, 2^{201121110000100} is an apocalyptic number.

201121110000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121110000100 is an abundant number, since it is smaller than the sum of its proper divisors (235311698700334).

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

201121110000100 is a wasteful number, since it uses less digits than its factorization.

201121110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011211100015 (or 2011211100008 counting only the distinct ones).

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

Adding to 201121110000100 its reverse (1000011121102), we get a palindrome (202121121121202).

The spelling of 201121110000100 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred ten million, one hundred", and thus it is an aban number.