102002220101201 has 12 divisors (see below), whose sum is σ = 119147990874660. Its totient is φ = 87067692311040.

The previous prime is 102002220101183. The next prime is 102002220101227. The reversal of 102002220101201 is 102101022200201.

It can be written as a sum of positive squares in 2 ways, for example, as 65800325827600 + 36201894273601 = 8111740^2 + 6016801^2 .

It is not a de Polignac number, because 102002220101201 - 2⁴² = 97604173590097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102002220101701) 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 11 ways as a sum of consecutive naturals, for example, 4318822136 + ... + 4318845753.

It is an arithmetic number, because the mean of its divisors is an integer number (9928999239555).

Almost surely, 2^{102002220101201} is an apocalyptic number.

It is an amenable number.

102002220101201 is a deficient number, since it is larger than the sum of its proper divisors (17145770773459).

102002220101201 is an equidigital number, since it uses as much as digits as its factorization.

102002220101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637668144 (or 8637668137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002220101201 its reverse (102101022200201), we get a palindrome (204103242301402).

The spelling of 102002220101201 in words is "one hundred two trillion, two billion, two hundred twenty million, one hundred one thousand, two hundred one".