1014421640100 has 288 divisors, whose sum is σ = 3346699797504. Its totient is φ = 234833702400.

The previous prime is 1014421640083. The next prime is 1014421640137. The reversal of 1014421640100 is 10461244101.

1014421640100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46515799 + ... + 46537601.

It is an arithmetic number, because the mean of its divisors is an integer number (11620485408).

Almost surely, 2^{1014421640100} is an apocalyptic number.

1014421640100 is a gapful number since it is divisible by the number (10) 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 1014421640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673349898752).

1014421640100 is an abundant number, since it is smaller than the sum of its proper divisors (2332278157404).

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

1014421640100 is a wasteful number, since it uses less digits than its factorization.

1014421640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22467 (or 22460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1014421640100 its reverse (10461244101), we get a palindrome (1024882884201).

The spelling of 1014421640100 in words is "one trillion, fourteen billion, four hundred twenty-one million, six hundred forty thousand, one hundred".