1014141124100 has 36 divisors (see below), whose sum is σ = 2369969799204. Its totient is φ = 374452106880.

The previous prime is 1014141124067. The next prime is 1014141124121. The reversal of 1014141124100 is 14211414101.

1014141124100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 323367371716 + 690773752384 = 568654^2 + 831128^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390052979 + ... + 390055578.

Almost surely, 2^{1014141124100} is an apocalyptic number.

1014141124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014141124100 is an abundant number, since it is smaller than the sum of its proper divisors (1355828675104).

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

1014141124100 is a wasteful number, since it uses less digits than its factorization.

1014141124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780108584 (or 780108577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1014141124100 its reverse (14211414101), we get a palindrome (1028352538201).

The spelling of 1014141124100 in words is "one trillion, fourteen billion, one hundred forty-one million, one hundred twenty-four thousand, one hundred".