201031211102101 has 16 divisors (see below), whose sum is σ = 206375870916864. Its totient is φ = 195731062124544.

The previous prime is 201031211102087. The next prime is 201031211102119. The reversal of 201031211102101 is 101201112130102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201031211102101 - 2⁵ = 201031211102069 is a prime.

It is a super-2 number, since 2×201031211102101² (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 (201031211142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627852490 + ... + 628172596.

It is an arithmetic number, because the mean of its divisors is an integer number (12898491932304).

Almost surely, 2^{201031211102101} is an apocalyptic number.

It is an amenable number.

201031211102101 is a deficient number, since it is larger than the sum of its proper divisors (5344659814763).

201031211102101 is a wasteful number, since it uses less digits than its factorization.

201031211102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389580.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 201031211102101 its reverse (101201112130102), we get a palindrome (302232323232203).

The spelling of 201031211102101 in words is "two hundred one trillion, thirty-one billion, two hundred eleven million, one hundred two thousand, one hundred one".