102203201100001 has 16 divisors (see below), whose sum is σ = 103402444121680. Its totient is φ = 101008791797760.

The previous prime is 102203201099983. The next prime is 102203201100083. The reversal of 102203201100001 is 100001102302201.

It can be written as a sum of positive squares in 8 ways, for example, as 33799979750625 + 68403221349376 = 5813775^2 + 8270624^2 .

It is a cyclic number.

It is not a de Polignac number, because 102203201100001 - 2⁷ = 102203201099873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102203201160001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290622865 + ... + 290974321.

It is an arithmetic number, because the mean of its divisors is an integer number (6462652757605).

Almost surely, 2^{102203201100001} is an apocalyptic number.

It is an amenable number.

102203201100001 is a deficient number, since it is larger than the sum of its proper divisors (1199243021679).

102203201100001 is a wasteful number, since it uses less digits than its factorization.

102203201100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358324.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102203201100001 its reverse (100001102302201), we get a palindrome (202204303402202).

The spelling of 102203201100001 in words is "one hundred two trillion, two hundred three billion, two hundred one million, one hundred thousand, one".