102234343210000 has 75 divisors (see below), whose sum is σ = 247522016368363. Its totient is φ = 40893332840000.

The previous prime is 102234343209979. The next prime is 102234343210003. The reversal of 102234343210000 is 12343432201.

The square root of 102234343210000 is 10111100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8015172507664 + 94219170702336 = 2831108^2 + 9706656^2 .

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 (102234343210003) 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, 1011059445 + ... + 1011160555.

Almost surely, 2^{102234343210000} is an apocalyptic number.

102234343210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102234343210000 is the 10111100-th square number.

It is an amenable number.

102234343210000 is an abundant number, since it is smaller than the sum of its proper divisors (145287673158363).

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

102234343210000 is an frugal number, since it uses more digits than its factorization.

102234343210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202250 (or 101118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

102234343210000 divided by its sum of digits (25) gives a square (4089373728400 = 2022220²).

Adding to 102234343210000 its reverse (12343432201), we get a palindrome (102246686642201).

The spelling of 102234343210000 in words is "one hundred two trillion, two hundred thirty-four billion, three hundred forty-three million, two hundred ten thousand".