1034254124100 has 144 divisors (see below), whose sum is σ = 3326949283840. Its totient is φ = 275634057600.

The previous prime is 1034254124087. The next prime is 1034254124119. The reversal of 1034254124100 is 14214524301.

1034254124100 is a `hidden beast` number, since 10 + 3 + 4 + 2 + 541 + 2 + 4 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4374930 + ... + 4605270.

Almost surely, 2^{1034254124100} is an apocalyptic number.

1034254124100 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 1034254124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663474641920).

1034254124100 is an abundant number, since it is smaller than the sum of its proper divisors (2292695159740).

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

1034254124100 is a wasteful number, since it uses less digits than its factorization.

1034254124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232027 (or 232014 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1034254124100 its reverse (14214524301), we get a palindrome (1048468648401).

The spelling of 1034254124100 in words is "one trillion, thirty-four billion, two hundred fifty-four million, one hundred twenty-four thousand, one hundred".