2421000142100 has 18 divisors (see below), whose sum is σ = 5253570308574. Its totient is φ = 968400056800.

The previous prime is 2421000142069. The next prime is 2421000142201. The reversal of 2421000142100 is 12410001242.

It can be written as a sum of positive squares in 3 ways, for example, as 15535628164 + 2405464513936 = 124642^2 + 1550956^2 .

It is a super-2 number, since 2×2421000142100² (a number of 26 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 12105000611 + ... + 12105000810.

It is an arithmetic number, because the mean of its divisors is an integer number (291865017143).

Almost surely, 2^{2421000142100} is an apocalyptic number.

2421000142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421000142100 is an abundant number, since it is smaller than the sum of its proper divisors (2832570166474).

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

2421000142100 is a wasteful number, since it uses less digits than its factorization.

2421000142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24210001435 (or 24210001428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2421000142100 its reverse (12410001242), we get a palindrome (2433410143342).

The spelling of 2421000142100 in words is "two trillion, four hundred twenty-one billion, one hundred forty-two thousand, one hundred".