10202001120201 has 128 divisors (see below), whose sum is σ = 16749727948800. Its totient is φ = 5442934440960.

The previous prime is 10202001120173. The next prime is 10202001120203. The reversal of 10202001120201 is 10202110020201.

It is not a de Polignac number, because 10202001120201 - 2¹⁷ = 10202000989129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202001120203) 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 127 ways as a sum of consecutive naturals, for example, 1750812450 + ... + 1750818276.

It is an arithmetic number, because the mean of its divisors is an integer number (130857249600).

Almost surely, 2^{10202001120201} is an apocalyptic number.

10202001120201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202001120201 is a deficient number, since it is larger than the sum of its proper divisors (6547726828599).

10202001120201 is a wasteful number, since it uses less digits than its factorization.

10202001120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202001120201 its reverse (10202110020201), we get a palindrome (20404111140402).

The spelling of 10202001120201 in words is "ten trillion, two hundred two billion, one million, one hundred twenty thousand, two hundred one".