102240020042201 has 8 divisors (see below), whose sum is σ = 102530427648264. Its totient is φ = 101949909531520.

The previous prime is 102240020042183. The next prime is 102240020042207.

102240020042201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 39626017806400 + 62614002235801 = 6294920^2 + 7912901^2 .

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 102240020042201 - 2²⁶ = 102239952933337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102240020042207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73584596 + ... + 74961141.

It is an arithmetic number, because the mean of its divisors is an integer number (12816303456033).

Almost surely, 2^{102240020042201} is an apocalyptic number.

It is an amenable number.

102240020042201 is a deficient number, since it is larger than the sum of its proper divisors (290407606063).

102240020042201 is a wasteful number, since it uses less digits than its factorization.

102240020042201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148547691.

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 102240020042201 in words is "one hundred two trillion, two hundred forty billion, twenty million, forty-two thousand, two hundred one".