201102000100101 has 48 divisors (see below), whose sum is σ = 309366950308416. Its totient is φ = 125443620407808.

The previous prime is 201102000100073. The next prime is 201102000100163. The reversal of 201102000100101 is 101001000201102.

It is a happy number.

It is not a de Polignac number, because 201102000100101 - 2⁹ = 201102000099589 is a prime.

It is a super-2 number, since 2×201102000100101² (a number of 29 digits) contains 22 as substring.

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 (201102000100171) 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, 394742326 + ... + 395251448.

It is an arithmetic number, because the mean of its divisors is an integer number (6445144798092).

Almost surely, 2^{201102000100101} is an apocalyptic number.

It is an amenable number.

201102000100101 is a deficient number, since it is larger than the sum of its proper divisors (108264950208315).

201102000100101 is a wasteful number, since it uses less digits than its factorization.

201102000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524242 (or 524239 counting only the distinct ones).

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

Adding to 201102000100101 its reverse (101001000201102), we get a palindrome (302103000301203).

The spelling of 201102000100101 in words is "two hundred one trillion, one hundred two billion, one hundred thousand, one hundred one".