10201201211201 has 128 divisors (see below), whose sum is σ = 14118608351232. Its totient is φ = 7115651712000.

The previous prime is 10201201211147. The next prime is 10201201211219. The reversal of 10201201211201 is 10211210210201.

It is not a de Polignac number, because 10201201211201 - 2¹⁸ = 10201200949057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201201211101) 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, 1255837526 + ... + 1255845648.

It is an arithmetic number, because the mean of its divisors is an integer number (110301627744).

Almost surely, 2^{10201201211201} is an apocalyptic number.

10201201211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201201211201 is a deficient number, since it is larger than the sum of its proper divisors (3917407140031).

10201201211201 is a wasteful number, since it uses less digits than its factorization.

10201201211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201201211201 its reverse (10211210210201), we get a palindrome (20412411421402).

The spelling of 10201201211201 in words is "ten trillion, two hundred one billion, two hundred one million, two hundred eleven thousand, two hundred one".