210514001120 has 96 divisors (see below), whose sum is σ = 508125477888. Its totient is φ = 82397564928.

The previous prime is 210514001119. The next prime is 210514001167. The reversal of 210514001120 is 21100415012.

It is a super-2 number, since 2×210514001120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412402 + ... + 1554318.

It is an arithmetic number, because the mean of its divisors is an integer number (5292973728).

Almost surely, 2^210514001120 is an apocalyptic number.

210514001120 is a gapful number since it is divisible by the number (20) 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 210514001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254062738944).

210514001120 is an abundant number, since it is smaller than the sum of its proper divisors (297611476768).

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

210514001120 is a wasteful number, since it uses less digits than its factorization.

210514001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142132 (or 142124 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 210514001120 its reverse (21100415012), we get a palindrome (231614416132).

The spelling of 210514001120 in words is "two hundred ten billion, five hundred fourteen million, one thousand, one hundred twenty".