102101222012101 has 16 divisors (see below), whose sum is σ = 111448596833280. Its totient is φ = 92972108972160.

The previous prime is 102101222012047. The next prime is 102101222012219. The reversal of 102101222012101 is 101210222101201.

It is a cyclic number.

It is not a de Polignac number, because 102101222012101 - 2⁷ = 102101222011973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101222012501) 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 15 ways as a sum of consecutive naturals, for example, 101875485 + ... + 102872818.

It is an arithmetic number, because the mean of its divisors is an integer number (6965537302080).

Almost surely, 2^{102101222012101} is an apocalyptic number.

It is an amenable number.

102101222012101 is a deficient number, since it is larger than the sum of its proper divisors (9347374821179).

102101222012101 is a wasteful number, since it uses less digits than its factorization.

102101222012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204748836.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102101222012101 its reverse (101210222101201), we get a palindrome (203311444113302).

The spelling of 102101222012101 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, twelve thousand, one hundred one".