10182020100201 has 8 divisors (see below), whose sum is σ = 15084474222560. Its totient is φ = 6788013400116.

The previous prime is 10182020100173. The next prime is 10182020100211. The reversal of 10182020100201 is 10200102028101.

It is not a de Polignac number, because 10182020100201 - 2⁷ = 10182020100073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10182020100211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188555927755 + ... + 188555927808.

It is an arithmetic number, because the mean of its divisors is an integer number (1885559277820).

Almost surely, 2^{10182020100201} is an apocalyptic number.

It is an amenable number.

10182020100201 is a deficient number, since it is larger than the sum of its proper divisors (4902454122359).

10182020100201 is an equidigital number, since it uses as much as digits as its factorization.

10182020100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377111855572 (or 377111855566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10182020100201 its reverse (10200102028101), we get a palindrome (20382122128302).

The spelling of 10182020100201 in words is "ten trillion, one hundred eighty-two billion, twenty million, one hundred thousand, two hundred one".