334142010222100 has 72 divisors (see below), whose sum is σ = 727767426262968. Its totient is φ = 133163059814400.

The previous prime is 334142010222049. The next prime is 334142010222107. The reversal of 334142010222100 is 1222010241433.

It can be written as a sum of positive squares in 12 ways, for example, as 235993440478084 + 98148569744016 = 15362078^2 + 9906996^2 .

It is a super-2 number, since 2×334142010222100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334142010222107) 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 23 ways as a sum of consecutive naturals, for example, 206939082 + ... + 208547518.

It is an arithmetic number, because the mean of its divisors is an integer number (10107880920319).

Almost surely, 2^{334142010222100} is an apocalyptic number.

It is an amenable number.

334142010222100 is an abundant number, since it is smaller than the sum of its proper divisors (393625416040868).

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

334142010222100 is a wasteful number, since it uses less digits than its factorization.

334142010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616125 (or 1616118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 334142010222100 its reverse (1222010241433), we get a palindrome (335364020463533).

The spelling of 334142010222100 in words is "three hundred thirty-four trillion, one hundred forty-two billion, ten million, two hundred twenty-two thousand, one hundred".