201021010201011 has 768 divisors, whose sum is σ = 393720201971712. Its totient is φ = 89543688192000.

The previous prime is 201021010200931. The next prime is 201021010201051. The reversal of 201021010201011 is 110102010120102.

It is not a de Polignac number, because 201021010201011 - 2¹¹ = 201021010198963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201021010201051) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 334477554111 + ... + 334477554711.

It is an arithmetic number, because the mean of its divisors is an integer number (512656512984).

Almost surely, 2^{201021010201011} is an apocalyptic number.

201021010201011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201021010201011 is a deficient number, since it is larger than the sum of its proper divisors (192699191770701).

201021010201011 is a wasteful number, since it uses less digits than its factorization.

201021010201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201021010201011 its reverse (110102010120102), we get a palindrome (311123020321113).

It can be divided in two parts, 2010210 and 10201011, that added together give a palindrome (12211221).

The spelling of 201021010201011 in words is "two hundred one trillion, twenty-one billion, ten million, two hundred one thousand, eleven".