102201002022101 has 32 divisors (see below), whose sum is σ = 103454614454400. Its totient is φ = 100956989952000.

The previous prime is 102201002022019. The next prime is 102201002022121. The reversal of 102201002022101 is 101220200102201.

It is a cyclic number.

It is not a de Polignac number, because 102201002022101 - 2³⁰ = 102199928280277 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 (102201002022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42389464586 + ... + 42389466996.

It is an arithmetic number, because the mean of its divisors is an integer number (3232956701700).

Almost surely, 2^{102201002022101} is an apocalyptic number.

It is an amenable number.

102201002022101 is a deficient number, since it is larger than the sum of its proper divisors (1253612432299).

102201002022101 is a wasteful number, since it uses less digits than its factorization.

102201002022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102201002022101 its reverse (101220200102201), we get a palindrome (203421202124302).

The spelling of 102201002022101 in words is "one hundred two trillion, two hundred one billion, two million, twenty-two thousand, one hundred one".