102201220112101 has 8 divisors (see below), whose sum is σ = 114211563052608. Its totient is φ = 90644097660000.

The previous prime is 102201220112063. The next prime is 102201220112219. The reversal of 102201220112101 is 101211022102201.

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 102201220112101 - 2⁹ = 102201220111589 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 (102201220112501) 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 7 ways as a sum of consecutive naturals, for example, 113305121625 + ... + 113305122526.

It is an arithmetic number, because the mean of its divisors is an integer number (14276445381576).

Almost surely, 2^{102201220112101} is an apocalyptic number.

102201220112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201220112101 is a deficient number, since it is larger than the sum of its proper divisors (12010342940507).

102201220112101 is a wasteful number, since it uses less digits than its factorization.

102201220112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226610244203.

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

Adding to 102201220112101 its reverse (101211022102201), we get a palindrome (203412242214302).

The spelling of 102201220112101 in words is "one hundred two trillion, two hundred one billion, two hundred twenty million, one hundred twelve thousand, one hundred one".