102025040000 has 160 divisors (see below), whose sum is σ = 273525053340. Its totient is φ = 37670400000.

The previous prime is 102025039943. The next prime is 102025040021. The reversal of 102025040000 is 40520201.

It can be written as a sum of positive squares in 10 ways, for example, as 46204362304 + 55820677696 = 214952^2 + 236264^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 990950 + ... + 1089050.

Almost surely, 2^102025040000 is an apocalyptic number.

102025040000 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 102025040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136762526670).

102025040000 is an abundant number, since it is smaller than the sum of its proper divisors (171500013340).

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

102025040000 is an frugal number, since it uses more digits than its factorization.

102025040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98148 (or 98121 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 102025040000 its reverse (40520201), we get a palindrome (102065560201).

The spelling of 102025040000 in words is "one hundred two billion, twenty-five million, forty thousand".