10201002100011 has 80 divisors (see below), whose sum is σ = 16424400298240. Its totient is φ = 6288765739200.

The previous prime is 10201002099979. The next prime is 10201002100021. The reversal of 10201002100011 is 11000120010201.

It is a happy number.

It is not a de Polignac number, because 10201002100011 - 2⁵ = 10201002099979 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10201002099966 and 10201002100002.

It is not an unprimeable number, because it can be changed into a prime (10201002100021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102061161 + ... + 102161061.

It is an arithmetic number, because the mean of its divisors is an integer number (205305003728).

Almost surely, 2^{10201002100011} is an apocalyptic number.

10201002100011 is a deficient number, since it is larger than the sum of its proper divisors (6223398198229).

10201002100011 is a wasteful number, since it uses less digits than its factorization.

10201002100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101518 (or 101509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10201002100011 its reverse (11000120010201), we get a palindrome (21201122110212).

The spelling of 10201002100011 in words is "ten trillion, two hundred one billion, two million, one hundred thousand, eleven".