102034241440000 has 135 divisors (see below), whose sum is σ = 254516000209933. Its totient is φ = 40812080384000.

The previous prime is 102034241439983. The next prime is 102034241440007. The reversal of 102034241440000 is 44142430201.

The square root of 102034241440000 is 10101200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 23294600296704 + 78739641143296 = 4826448^2 + 8873536^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102034241440007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4040467374 + ... + 4040492626.

Almost surely, 2^{102034241440000} is an apocalyptic number.

102034241440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102034241440000 is the 10101200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102034241440000

102034241440000 is an abundant number, since it is smaller than the sum of its proper divisors (152481758769933).

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

102034241440000 is an frugal number, since it uses more digits than its factorization.

102034241440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50542 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

102034241440000 divided by its sum of digits (25) gives a square (4081369657600 = 2020240²).

Adding to 102034241440000 its reverse (44142430201), we get a palindrome (102078383870201).

The spelling of 102034241440000 in words is "one hundred two trillion, thirty-four billion, two hundred forty-one million, four hundred forty thousand".