211122201132031 has 32 divisors (see below), whose sum is σ = 242177550410880. Its totient is φ = 180291792384000.

The previous prime is 211122201131981. The next prime is 211122201132047. The reversal of 211122201132031 is 130231102221112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211122201132031 - 2¹⁷ = 211122201000959 is a prime.

It is a super-2 number, since 2×211122201132031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211122201131993 and 211122201132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122201132061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24466585225 + ... + 24466593853.

It is an arithmetic number, because the mean of its divisors is an integer number (7568048450340).

Almost surely, 2^{211122201132031} is an apocalyptic number.

211122201132031 is a deficient number, since it is larger than the sum of its proper divisors (31055349278849).

211122201132031 is a wasteful number, since it uses less digits than its factorization.

211122201132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18595.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 211122201132031 its reverse (130231102221112), we get a palindrome (341353303353143).

The spelling of 211122201132031 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred one million, one hundred thirty-two thousand, thirty-one".