102301312101000 has 256 divisors, whose sum is σ = 323592071212800. Its totient is φ = 26903349504000.

The previous prime is 102301312100993. The next prime is 102301312101007. The reversal of 102301312101000 is 101213103201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102301312100993) and next prime (102301312101007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102301312101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2159097310 + ... + 2159144690.

It is an arithmetic number, because the mean of its divisors is an integer number (1264031528175).

Almost surely, 2^{102301312101000} is an apocalyptic number.

102301312101000 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 102301312101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161796035606400).

102301312101000 is an abundant number, since it is smaller than the sum of its proper divisors (221290759111800).

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

102301312101000 is a wasteful number, since it uses less digits than its factorization.

102301312101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57337 (or 57323 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102301312101000 its reverse (101213103201), we get a palindrome (102402525204201).

The spelling of 102301312101000 in words is "one hundred two trillion, three hundred one billion, three hundred twelve million, one hundred one thousand".