102146242641201 has 144 divisors (see below), whose sum is σ = 166937941170000. Its totient is φ = 60097274265600.

The previous prime is 102146242641187. The next prime is 102146242641239.

102146242641201 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 6 + 2 + 4 + 2 + 641 + 2 + 0 + 1 = 666.

102146242641201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 21060251831025 + 81085990810176 = 4589145^2 + 9004776^2 .

It is not a de Polignac number, because 102146242641201 - 2⁶ = 102146242641137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102146242641251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53395839421 + ... + 53395841333.

It is an arithmetic number, because the mean of its divisors is an integer number (1159291258125).

Almost surely, 2^{102146242641201} is an apocalyptic number.

102146242641201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102146242641201 is a deficient number, since it is larger than the sum of its proper divisors (64791698528799).

102146242641201 is a wasteful number, since it uses less digits than its factorization.

102146242641201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 102146242641201 in words is "one hundred two trillion, one hundred forty-six billion, two hundred forty-two million, six hundred forty-one thousand, two hundred one".