201020100020101 has 16 divisors (see below), whose sum is σ = 207917106398208. Its totient is φ = 194243296192000.

The previous prime is 201020100020063. The next prime is 201020100020153. The reversal of 201020100020101 is 101020001020102.

It is a cyclic number.

It is not a de Polignac number, because 201020100020101 - 2¹³ = 201020100011909 is a prime.

It is a super-2 number, since 2×201020100020101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020100020401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58305565 + ... + 61656946.

It is an arithmetic number, because the mean of its divisors is an integer number (12994819149888).

Almost surely, 2^{201020100020101} is an apocalyptic number.

It is an amenable number.

201020100020101 is a deficient number, since it is larger than the sum of its proper divisors (6897006378107).

201020100020101 is a wasteful number, since it uses less digits than its factorization.

201020100020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119963012.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201020100020101 its reverse (101020001020102), we get a palindrome (302040101040203).

The spelling of 201020100020101 in words is "two hundred one trillion, twenty billion, one hundred million, twenty thousand, one hundred one".