640121010000102 has 144 divisors (see below), whose sum is σ = 1492273491508800. Its totient is φ = 198209546346240.

The previous prime is 640121010000029. The next prime is 640121010000179. The reversal of 640121010000102 is 201000010121046.

640121010000102 is a `hidden beast` number, since 640 + 1 + 2 + 1 + 0 + 10 + 0 + 0 + 0 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38911474 + ... + 52861562.

It is an arithmetic number, because the mean of its divisors is an integer number (10363010357700).

Almost surely, 2^{640121010000102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640121010000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746136745754400).

640121010000102 is an abundant number, since it is smaller than the sum of its proper divisors (852152481508698).

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

640121010000102 is a wasteful number, since it uses less digits than its factorization.

640121010000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950283 (or 13950257 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 640121010000102 its reverse (201000010121046), we get a palindrome (841121020121148).

The spelling of 640121010000102 in words is "six hundred forty trillion, one hundred twenty-one billion, ten million, one hundred two", and thus it is an aban number.