10201111012301 has 48 divisors (see below), whose sum is σ = 11603264225280. Its totient is φ = 8952309194400.

The previous prime is 10201111012247. The next prime is 10201111012333. The reversal of 10201111012301 is 10321011110201.

It is not a de Polignac number, because 10201111012301 - 2¹⁰ = 10201111011277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201111012201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3618697070 + ... + 3618699888.

It is an arithmetic number, because the mean of its divisors is an integer number (241734671360).

Almost surely, 2^{10201111012301} is an apocalyptic number.

10201111012301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201111012301 is a deficient number, since it is larger than the sum of its proper divisors (1402153212979).

10201111012301 is a wasteful number, since it uses less digits than its factorization.

10201111012301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10201111012301 its reverse (10321011110201), we get a palindrome (20522122122502).

The spelling of 10201111012301 in words is "ten trillion, two hundred one billion, one hundred eleven million, twelve thousand, three hundred one".