201101001202100 has 36 divisors (see below), whose sum is σ = 436390485265644. Its totient is φ = 80440158516480.

The previous prime is 201101001202093. The next prime is 201101001202219. The reversal of 201101001202100 is 1202100101102.

It can be written as a sum of positive squares in 6 ways, for example, as 1291354958884 + 199809646243216 = 1136378^2 + 14135404^2 .

It is a super-2 number, since 2×201101001202100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32457272 + ... + 38153328.

Almost surely, 2^{201101001202100} is an apocalyptic number.

201101001202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101001202100 is an abundant number, since it is smaller than the sum of its proper divisors (235289484063544).

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

201101001202100 is a wasteful number, since it uses less digits than its factorization.

201101001202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049124 (or 6049117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201101001202100 its reverse (1202100101102), we get a palindrome (202303101303202).

The spelling of 201101001202100 in words is "two hundred one trillion, one hundred one billion, one million, two hundred two thousand, one hundred".