10228377382201 has 18 divisors (see below), whose sum is σ = 11430091427118. Its totient is φ = 9146089656000.

The previous prime is 10228377382183. The next prime is 10228377382207.

It is a happy number.

10228377382201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 945240895225 + 9283136486976 = 972235^2 + 3046824^2 .

It is not a de Polignac number, because 10228377382201 - 2²¹ = 10228375285049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10228377382207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10908540 + ... + 11809021.

Almost surely, 2^{10228377382201} is an apocalyptic number.

10228377382201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10228377382201 is a deficient number, since it is larger than the sum of its proper divisors (1201714044917).

10228377382201 is an equidigital number, since it uses as much as digits as its factorization.

10228377382201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22717705 (or 22717633 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 10228377382201 in words is "ten trillion, two hundred twenty-eight billion, three hundred seventy-seven million, three hundred eighty-two thousand, two hundred one".