102101201212101 has 64 divisors (see below), whose sum is σ = 168900789797376. Its totient is φ = 53423116876800.

The previous prime is 102101201212093. The next prime is 102101201212103. The reversal of 102101201212101 is 101212102101201.

It is a happy number.

It is not a de Polignac number, because 102101201212101 - 2³ = 102101201212093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101201212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17014591 + ... + 22219331.

It is an arithmetic number, because the mean of its divisors is an integer number (2639074840584).

Almost surely, 2^{102101201212101} is an apocalyptic number.

It is an amenable number.

102101201212101 is a deficient number, since it is larger than the sum of its proper divisors (66799588585275).

102101201212101 is a wasteful number, since it uses less digits than its factorization.

102101201212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205342.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101201212101 its reverse (101212102101201), we get a palindrome (203313303313302).

The spelling of 102101201212101 in words is "one hundred two trillion, one hundred one billion, two hundred one million, two hundred twelve thousand, one hundred one".