102125234050000 has 180 divisors, whose sum is σ = 287697295530540. Its totient is φ = 35014365120000.

The previous prime is 102125234049967. The next prime is 102125234050013. The reversal of 102125234050000 is 50432521201.

It can be written as a sum of positive squares in 6 ways, for example, as 59122381835664 + 43002852214336 = 7689108^2 + 6557656^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18391885 + ... + 23291884.

It is an arithmetic number, because the mean of its divisors is an integer number (1598318308503).

Almost surely, 2^{102125234050000} is an apocalyptic number.

102125234050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102125234050000 is an abundant number, since it is smaller than the sum of its proper divisors (185572061480540).

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

102125234050000 is an frugal number, since it uses more digits than its factorization.

102125234050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41683816 (or 41683783 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 102125234050000 its reverse (50432521201), we get a palindrome (102175666571201).

The spelling of 102125234050000 in words is "one hundred two trillion, one hundred twenty-five billion, two hundred thirty-four million, fifty thousand".