102201000321101 has 16 divisors (see below), whose sum is σ = 115143768619008. Its totient is φ = 89869737783600.

The previous prime is 102201000321029. The next prime is 102201000321103. The reversal of 102201000321101 is 101123000102201.

It is a cyclic number.

It is not a de Polignac number, because 102201000321101 - 2³⁴ = 102183820451917 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 (102201000321103) 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, 71231531 + ... + 72652136.

It is an arithmetic number, because the mean of its divisors is an integer number (7196485538688).

Almost surely, 2^{102201000321101} is an apocalyptic number.

102201000321101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201000321101 is a deficient number, since it is larger than the sum of its proper divisors (12942768297907).

102201000321101 is a wasteful number, since it uses less digits than its factorization.

102201000321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143885792.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102201000321101 its reverse (101123000102201), we get a palindrome (203324000423302).

The spelling of 102201000321101 in words is "one hundred two trillion, two hundred one billion, three hundred twenty-one thousand, one hundred one".