211001031123201 has 128 divisors (see below), whose sum is σ = 353809054287360. Its totient is φ = 124701410304000.

The previous prime is 211001031123187. The next prime is 211001031123257. The reversal of 211001031123201 is 102321130100112.

211001031123201 is a `hidden beast` number, since 2 + 110 + 0 + 10 + 311 + 232 + 0 + 1 = 666.

It is not a de Polignac number, because 211001031123201 - 2²⁷ = 211000896905473 is a prime.

It is a super-3 number, since 3×211001031123201³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211001031123101) 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, 2131424761 + ... + 2131523753.

It is an arithmetic number, because the mean of its divisors is an integer number (2764133236620).

Almost surely, 2^{211001031123201} is an apocalyptic number.

It is an amenable number.

211001031123201 is a deficient number, since it is larger than the sum of its proper divisors (142808023164159).

211001031123201 is an equidigital number, since it uses as much as digits as its factorization.

211001031123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101227 (or 101209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211001031123201 its reverse (102321130100112), we get a palindrome (313322161223313).

The spelling of 211001031123201 in words is "two hundred eleven trillion, one billion, thirty-one million, one hundred twenty-three thousand, two hundred one".