20200014234100 has 108 divisors (see below), whose sum is σ = 46311750069228. Its totient is φ = 7646594688000.

The previous prime is 20200014234083. The next prime is 20200014234133. The reversal of 20200014234100 is 143241000202.

It can be written as a sum of positive squares in 6 ways, for example, as 827797907556 + 19372216326544 = 909834^2 + 4401388^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33672780 + ... + 34267420.

It is an arithmetic number, because the mean of its divisors is an integer number (428812500641).

Almost surely, 2^{20200014234100} is an apocalyptic number.

20200014234100 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 20200014234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155875034614).

20200014234100 is an abundant number, since it is smaller than the sum of its proper divisors (26111735835128).

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

20200014234100 is a wasteful number, since it uses less digits than its factorization.

20200014234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595634 (or 595608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20200014234100 its reverse (143241000202), we get a palindrome (20343255234302).

The spelling of 20200014234100 in words is "twenty trillion, two hundred billion, fourteen million, two hundred thirty-four thousand, one hundred".