20101000011201 has 24 divisors (see below), whose sum is σ = 30227987876840. Its totient is φ = 12859877074176.

The previous prime is 20101000011193. The next prime is 20101000011233. The reversal of 20101000011201 is 10211000010102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3149861796225 + 16951138214976 = 1774785^2 + 4117176^2 .

It is not a de Polignac number, because 20101000011201 - 2³ = 20101000011193 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 (20101000019201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413423386 + ... + 413472003.

Almost surely, 2^{20101000011201} is an apocalyptic number.

It is an amenable number.

20101000011201 is a deficient number, since it is larger than the sum of its proper divisors (10126987865639).

20101000011201 is a wasteful number, since it uses less digits than its factorization.

20101000011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826895505 (or 826895502 counting only the distinct ones).

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

Adding to 20101000011201 its reverse (10211000010102), we get a palindrome (30312000021303).

The spelling of 20101000011201 in words is "twenty trillion, one hundred one billion, eleven thousand, two hundred one".