201211122120021 has 128 divisors (see below), whose sum is σ = 326147778969600. Its totient is φ = 121860395827200.

The previous prime is 201211122119941. The next prime is 201211122120059. The reversal of 201211122120021 is 120021221112102.

201211122120021 is a `hidden beast` number, since 201 + 21 + 1 + 1 + 221 + 200 + 21 = 666.

201211122120021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201211122120021 - 2⁷ = 201211122119893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201211122119976 and 201211122120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211122120121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8750961501 + ... + 8750984493.

It is an arithmetic number, because the mean of its divisors is an integer number (2548029523200).

Almost surely, 2^{201211122120021} is an apocalyptic number.

It is an amenable number.

201211122120021 is a deficient number, since it is larger than the sum of its proper divisors (124936656849579).

201211122120021 is a wasteful number, since it uses less digits than its factorization.

201211122120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24588 (or 24582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201211122120021 its reverse (120021221112102), we get a palindrome (321232343232123).

The spelling of 201211122120021 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, twenty-one".