101100120000201 has 48 divisors (see below), whose sum is σ = 179417266329600. Its totient is φ = 53566404935904.

The previous prime is 101100120000127. The next prime is 101100120000203. The reversal of 101100120000201 is 102000021001101.

It is a happy number.

It is not a de Polignac number, because 101100120000201 - 2⁷ = 101100120000073 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101100120000203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898467711 + ... + 898580228.

It is an arithmetic number, because the mean of its divisors is an integer number (3737859715200).

Almost surely, 2^{101100120000201} is an apocalyptic number.

It is an amenable number.

101100120000201 is a deficient number, since it is larger than the sum of its proper divisors (78317146329399).

101100120000201 is a wasteful number, since it uses less digits than its factorization.

101100120000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797048018 (or 1797048015 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100120000201 its reverse (102000021001101), we get a palindrome (203100141001302).

The spelling of 101100120000201 in words is "one hundred one trillion, one hundred billion, one hundred twenty million, two hundred one", and thus it is an aban number.