201100101100101 has 24 divisors (see below), whose sum is σ = 333808884840704. Its totient is φ = 114279457603680.

The previous prime is 201100101100069. The next prime is 201100101100133. The reversal of 201100101100101 is 101001101001102.

It is an interprime number because it is at equal distance from previous prime (201100101100069) and next prime (201100101100133).

It is not a de Polignac number, because 201100101100101 - 2⁵ = 201100101100069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100101100901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8817847981 + ... + 8817870786.

Almost surely, 2^{201100101100101} is an apocalyptic number.

201100101100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201100101100101 is a deficient number, since it is larger than the sum of its proper divisors (132708783740603).

201100101100101 is a wasteful number, since it uses less digits than its factorization.

201100101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17635718961 (or 17635718958 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201100101100101 its reverse (101001101001102), we get a palindrome (302101202101203).

The spelling of 201100101100101 in words is "two hundred one trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred one".