102001200001201 has 4 divisors (see below), whose sum is σ = 102001223400804. Its totient is φ = 102001176601600.

The previous prime is 102001200001187. The next prime is 102001200001231. The reversal of 102001200001201 is 102100002100201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 40521487191201 + 61479712810000 = 6365649^2 + 7840900^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001200001201 - 2³⁷ = 101863761047729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001200001231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3009520 + ... + 14596561.

It is an arithmetic number, because the mean of its divisors is an integer number (25500305850201).

Almost surely, 2^{102001200001201} is an apocalyptic number.

It is an amenable number.

102001200001201 is a deficient number, since it is larger than the sum of its proper divisors (23399603).

102001200001201 is an equidigital number, since it uses as much as digits as its factorization.

102001200001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23399602.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102001200001201 its reverse (102100002100201), we get a palindrome (204101202101402).

The spelling of 102001200001201 in words is "one hundred two trillion, one billion, two hundred million, one thousand, two hundred one".