10100000001201 has 16 divisors (see below), whose sum is σ = 14694778358208. Its totient is φ = 6119599928000.

The previous prime is 10100000001197. The next prime is 10100000001233. The reversal of 10100000001201 is 10210000000101.

It is a cyclic number.

It is not a de Polignac number, because 10100000001201 - 2² = 10100000001197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100000001201.

It is not an unprimeable number, because it can be changed into a prime (10100000001101) 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 15 ways as a sum of consecutive naturals, for example, 40177650 + ... + 40428251.

It is an arithmetic number, because the mean of its divisors is an integer number (918423647388).

Almost surely, 2^{10100000001201} is an apocalyptic number.

10100000001201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100000001201 is a deficient number, since it is larger than the sum of its proper divisors (4594778357007).

10100000001201 is a wasteful number, since it uses less digits than its factorization.

10100000001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80609712.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100000001201 its reverse (10210000000101), we get a palindrome (20310000001302).

The spelling of 10100000001201 in words is "ten trillion, one hundred billion, one thousand, two hundred one".