213122122134100 has 18 divisors (see below), whose sum is σ = 462475005031214. Its totient is φ = 85248848853600.

The previous prime is 213122122134079. The next prime is 213122122134143. The reversal of 213122122134100 is 1431221221312.

It can be written as a sum of positive squares in 3 ways, for example, as 15418218972816 + 197703903161284 = 3926604^2 + 14060722^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1065610610571 + ... + 1065610610770.

Almost surely, 2^{213122122134100} is an apocalyptic number.

213122122134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122122134100 is an abundant number, since it is smaller than the sum of its proper divisors (249352882897114).

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

213122122134100 is a wasteful number, since it uses less digits than its factorization.

213122122134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131221221355 (or 2131221221348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 213122122134100 its reverse (1431221221312), we get a palindrome (214553343355412).

The spelling of 213122122134100 in words is "two hundred thirteen trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred thirty-four thousand, one hundred".