102010010201 has 12 divisors (see below), whose sum is σ = 112396498512. Its totient is φ = 91818090000.

The previous prime is 102010010147. The next prime is 102010010213.

102010010201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102010010201 - 2²⁶ = 101942901337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102010010281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342335 + ... + 566756.

It is an arithmetic number, because the mean of its divisors is an integer number (9366374876).

Almost surely, 2^102010010201 is an apocalyptic number.

102010010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102010010201 is a deficient number, since it is larger than the sum of its proper divisors (10386488311).

102010010201 is an equidigital number, since it uses as much as digits as its factorization.

102010010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909304 (or 909203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1020100 and 10201, that multiplied together give a square (10406040100 = 102010²).

The spelling of 102010010201 in words is "one hundred two billion, ten million, ten thousand, two hundred one".