10100101011201 has 24 divisors (see below), whose sum is σ = 14605572345000. Its totient is φ = 6725771559936.

The previous prime is 10100101011167. The next prime is 10100101011263. The reversal of 10100101011201 is 10211010100101.

It can be written as a sum of positive squares in 4 ways, for example, as 936009810576 + 9164091200625 = 967476^2 + 3027225^2 .

It is not a de Polignac number, because 10100101011201 - 2⁹ = 10100101010689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100101015201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33990991 + ... + 34286843.

It is an arithmetic number, because the mean of its divisors is an integer number (608565514375).

Almost surely, 2^{10100101011201} is an apocalyptic number.

It is an amenable number.

10100101011201 is a deficient number, since it is larger than the sum of its proper divisors (4505471333799).

10100101011201 is a wasteful number, since it uses less digits than its factorization.

10100101011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300145 (or 300142 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100101011201 its reverse (10211010100101), we get a palindrome (20311111111302).

The spelling of 10100101011201 in words is "ten trillion, one hundred billion, one hundred one million, eleven thousand, two hundred one".