100002343200001 has 64 divisors (see below), whose sum is σ = 114965417145600. Its totient is φ = 86868862080000.

The previous prime is 100002343199987. The next prime is 100002343200049.

It is a happy number.

100002343200001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100002343200001 - 2¹³ = 100002343191809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002343200091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12167211270 + ... + 12167219488.

It is an arithmetic number, because the mean of its divisors is an integer number (1796334642900).

Almost surely, 2^{100002343200001} is an apocalyptic number.

100002343200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002343200001 is a deficient number, since it is larger than the sum of its proper divisors (14963073945599).

100002343200001 is a wasteful number, since it uses less digits than its factorization.

100002343200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The spelling of 100002343200001 in words is "one hundred trillion, two billion, three hundred forty-three million, two hundred thousand, one".