1034102014200 has 192 divisors, whose sum is σ = 3749376096000. Its totient is φ = 261246798720.

The previous prime is 1034102014163. The next prime is 1034102014201. The reversal of 1034102014200 is 24102014301.

1034102014200 is a `hidden beast` number, since 1 + 0 + 3 + 41 + 0 + 201 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034102014201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4936884 + ... + 5142083.

It is an arithmetic number, because the mean of its divisors is an integer number (19528000500).

Almost surely, 2^{1034102014200} is an apocalyptic number.

1034102014200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034102014200 is an abundant number, since it is smaller than the sum of its proper divisors (2715274081800).

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

1034102014200 is a wasteful number, since it uses less digits than its factorization.

1034102014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10079011 (or 10078996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1034102014200 its reverse (24102014301), we get a palindrome (1058204028501).

The spelling of 1034102014200 in words is "one trillion, thirty-four billion, one hundred two million, fourteen thousand, two hundred".