10001201201101 has 12 divisors (see below), whose sum is σ = 10997615728512. Its totient is φ = 9088229777000.

The previous prime is 10001201200997. The next prime is 10001201201137. The reversal of 10001201201101 is 10110210210001.

It is not a de Polignac number, because 10001201201101 - 2¹¹ = 10001201199053 is a prime.

It is a super-2 number, since 2×10001201201101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001201201501) 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 11 ways as a sum of consecutive naturals, for example, 16849405 + ... + 17432866.

It is an arithmetic number, because the mean of its divisors is an integer number (916467977376).

Almost surely, 2^{10001201201101} is an apocalyptic number.

10001201201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001201201101 is a deficient number, since it is larger than the sum of its proper divisors (996414527411).

10001201201101 is a wasteful number, since it uses less digits than its factorization.

10001201201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34284704 (or 34284693 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001201201101 its reverse (10110210210001), we get a palindrome (20111411411102).

The spelling of 10001201201101 in words is "ten trillion, one billion, two hundred one million, two hundred one thousand, one hundred one".