201001010100101 has 8 divisors (see below), whose sum is σ = 201015176607000. Its totient is φ = 200986844078080.

The previous prime is 201001010100097. The next prime is 201001010100103. The reversal of 201001010100101 is 101001010100102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114515660037601 + 86485350062500 = 10701199^2 + 9299750^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201001010100101 - 2² = 201001010100097 is a prime.

It is a super-3 number, since 3×201001010100101³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001010100103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231776245 + ... + 1231939413.

It is an arithmetic number, because the mean of its divisors is an integer number (25126897075875).

Almost surely, 2^{201001010100101} is an apocalyptic number.

It is an amenable number.

201001010100101 is a deficient number, since it is larger than the sum of its proper divisors (14166506899).

201001010100101 is a wasteful number, since it uses less digits than its factorization.

201001010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242439.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201001010100101 its reverse (101001010100102), we get a palindrome (302002020200203).

Subtracting from 201001010100101 its reverse (101001010100102), we obtain a palindrome (99999999999999).

The spelling of 201001010100101 in words is "two hundred one trillion, one billion, ten million, one hundred thousand, one hundred one".