210013004314100 has 54 divisors (see below), whose sum is σ = 493480852957890. Its totient is φ = 77543263125120.

The previous prime is 210013004314079. The next prime is 210013004314103. The reversal of 210013004314100 is 1413400310012.

It can be written as a sum of positive squares in 9 ways, for example, as 181590393900304 + 28422610413796 = 13475548^2 + 5331286^2 .

It is a super-2 number, since 2×210013004314100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210013004314103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6213385595 + ... + 6213419394.

It is an arithmetic number, because the mean of its divisors is an integer number (9138534314035).

Almost surely, 2^{210013004314100} is an apocalyptic number.

210013004314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210013004314100 is an abundant number, since it is smaller than the sum of its proper divisors (283467848643790).

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

210013004314100 is a wasteful number, since it uses less digits than its factorization.

210013004314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12426805029 (or 12426805009 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 210013004314100 its reverse (1413400310012), we get a palindrome (211426404624112).

The spelling of 210013004314100 in words is "two hundred ten trillion, thirteen billion, four million, three hundred fourteen thousand, one hundred".