102207855444001 has 16 divisors (see below), whose sum is σ = 104818830571728. Its totient is φ = 99623293286400.

The previous prime is 102207855443989. The next prime is 102207855444041. The reversal of 102207855444001 is 100444558702201.

It can be written as a sum of positive squares in 8 ways, for example, as 345363080976 + 101862492363025 = 587676^2 + 10092695^2 .

It is a cyclic number.

It is not a de Polignac number, because 102207855444001 - 2²⁹ = 102207318573089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102207855444041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919741 + ... + 14824981.

It is an arithmetic number, because the mean of its divisors is an integer number (6551176910733).

Almost surely, 2^{102207855444001} is an apocalyptic number.

It is an amenable number.

102207855444001 is a deficient number, since it is larger than the sum of its proper divisors (2610975127727).

102207855444001 is a wasteful number, since it uses less digits than its factorization.

102207855444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906452.

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 102207855444001 in words is "one hundred two trillion, two hundred seven billion, eight hundred fifty-five million, four hundred forty-four thousand, one".