210431101134012 has 384 divisors, whose sum is σ = 570965817397248. Its totient is φ = 60244508712960.

The previous prime is 210431101133989. The next prime is 210431101134013.

210431101134012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210431101134012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210431101134013) 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, 3038111293 + ... + 3038180555.

It is an arithmetic number, because the mean of its divisors is an integer number (1486890149472).

Almost surely, 2^{210431101134012} is an apocalyptic number.

210431101134012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210431101134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285482908698624).

210431101134012 is an abundant number, since it is smaller than the sum of its proper divisors (360534716263236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210431101134012 is a wasteful number, since it uses less digits than its factorization.

210431101134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69490 (or 69466 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21043110 and 1134012, that added together give a palindrome (22177122).

The spelling of 210431101134012 in words is "two hundred ten trillion, four hundred thirty-one billion, one hundred one million, one hundred thirty-four thousand, twelve".