20103042142100 has 72 divisors (see below), whose sum is σ = 44945759646648. Its totient is φ = 7798889779200.

The previous prime is 20103042142061. The next prime is 20103042142123. The reversal of 20103042142100 is 124124030102.

It can be written as a sum of positive squares in 12 ways, for example, as 11504565018244 + 8598477123856 = 3391838^2 + 2932316^2 .

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

It is a congruent number.

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, 7521221 + ... + 9837420.

It is an arithmetic number, because the mean of its divisors is an integer number (624246661759).

Almost surely, 2^{20103042142100} is an apocalyptic number.

20103042142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20103042142100 is an abundant number, since it is smaller than the sum of its proper divisors (24842717504548).

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

20103042142100 is a wasteful number, since it uses less digits than its factorization.

20103042142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17359005 (or 17358998 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20103042142100 its reverse (124124030102), we get a palindrome (20227166172202).

The spelling of 20103042142100 in words is "twenty trillion, one hundred three billion, forty-two million, one hundred forty-two thousand, one hundred".