102004222514640 has 160 divisors (see below), whose sum is σ = 318533827280256. Its totient is φ = 27001508413440.

The previous prime is 102004222514611. The next prime is 102004222514641. The reversal of 102004222514640 is 46415222400201.

It is a super-2 number, since 2×102004222514640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102004222514641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168215624 + ... + 1168302936.

Almost surely, 2^{102004222514640} is an apocalyptic number.

102004222514640 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 102004222514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159266913640128).

102004222514640 is an abundant number, since it is smaller than the sum of its proper divisors (216529604765616).

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

102004222514640 is a wasteful number, since it uses less digits than its factorization.

102004222514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122997 (or 122991 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 102004222514640 its reverse (46415222400201), we get a palindrome (148419444914841).

The spelling of 102004222514640 in words is "one hundred two trillion, four billion, two hundred twenty-two million, five hundred fourteen thousand, six hundred forty".