10010201101011 has 48 divisors (see below), whose sum is σ = 16020165736224. Its totient is φ = 5995851144192.

The previous prime is 10010201101007. The next prime is 10010201101031. The reversal of 10010201101011 is 11010110201001.

It is not a de Polignac number, because 10010201101011 - 2² = 10010201101007 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 = 10010201100984 and 10010201101002.

It is not an unprimeable number, because it can be changed into a prime (10010201101031) 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 47 ways as a sum of consecutive naturals, for example, 16381801 + ... + 16981866.

It is an arithmetic number, because the mean of its divisors is an integer number (333753452838).

Almost surely, 2^{10010201101011} is an apocalyptic number.

10010201101011 is a deficient number, since it is larger than the sum of its proper divisors (6009964635213).

10010201101011 is a wasteful number, since it uses less digits than its factorization.

10010201101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363780 (or 33363777 counting only the distinct ones).

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

Adding to 10010201101011 its reverse (11010110201001), we get a palindrome (21020311302012).

The spelling of 10010201101011 in words is "ten trillion, ten billion, two hundred one million, one hundred one thousand, eleven".