21000201010011 has 16 divisors (see below), whose sum is σ = 32748851478400. Its totient is φ = 13263284848104.

The previous prime is 21000201010003. The next prime is 21000201010051. The reversal of 21000201010011 is 11001010200012.

It is a happy number.

It is not a de Polignac number, because 21000201010011 - 2³ = 21000201010003 is a prime.

It is a super-4 number, since 4×21000201010011⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21000201009975 and 21000201010002.

It is not an unprimeable number, because it can be changed into a prime (21000201010051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20468031661 + ... + 20468032686.

It is an arithmetic number, because the mean of its divisors is an integer number (2046803217400).

Almost surely, 2^{21000201010011} is an apocalyptic number.

21000201010011 is a deficient number, since it is larger than the sum of its proper divisors (11748650468389).

21000201010011 is a wasteful number, since it uses less digits than its factorization.

21000201010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40936064375 (or 40936064369 counting only the distinct ones).

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

Adding to 21000201010011 its reverse (11001010200012), we get a palindrome (32001211210023).

The spelling of 21000201010011 in words is "twenty-one trillion, two hundred one million, ten thousand, eleven".