102240042201 has 24 divisors (see below), whose sum is σ = 161124578784. Its totient is φ = 61956332160.

The previous prime is 102240042199. The next prime is 102240042211.

102240042201 is a `hidden beast` number, since 1 + 0 + 2 + 240 + 0 + 422 + 0 + 1 = 666.

102240042201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102240042201 - 2¹ = 102240042199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102240042211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848050 + ... + 961076.

It is an arithmetic number, because the mean of its divisors is an integer number (6713524116).

Almost surely, 2^102240042201 is an apocalyptic number.

102240042201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102240042201 is a deficient number, since it is larger than the sum of its proper divisors (58884536583).

102240042201 is a wasteful number, since it uses less digits than its factorization.

102240042201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122181 (or 122178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 1022400 and 42201, that added together give a palindrome (1064601).

The spelling of 102240042201 in words is "one hundred two billion, two hundred forty million, forty-two thousand, two hundred one".