20414143252100 has 72 divisors (see below), whose sum is σ = 48488352854088. Its totient is φ = 7413963724800.

The previous prime is 20414143252091. The next prime is 20414143252141. The reversal of 20414143252100 is 125234141402.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7786198221376 + 12627945030724 = 2790376^2 + 3553582^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128635349 + ... + 128793948.

Almost surely, 2^{20414143252100} is an apocalyptic number.

20414143252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414143252100 is an abundant number, since it is smaller than the sum of its proper divisors (28074209601988).

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

20414143252100 is a wasteful number, since it uses less digits than its factorization.

20414143252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257429385 (or 257429378 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 20414143252100 its reverse (125234141402), we get a palindrome (20539377393502).

The spelling of 20414143252100 in words is "twenty trillion, four hundred fourteen billion, one hundred forty-three million, two hundred fifty-two thousand, one hundred".