102100301000310 has 128 divisors (see below), whose sum is σ = 253638282054528. Its totient is φ = 26285611520000.

The previous prime is 102100301000249. The next prime is 102100301000333. The reversal of 102100301000310 is 13000103001201.

It is a super-2 number, since 2×102100301000310² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 232960780 + ... + 233398640.

It is an arithmetic number, because the mean of its divisors is an integer number (1981549078551).

Almost surely, 2^{102100301000310} is an apocalyptic number.

102100301000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100301000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126819141027264).

102100301000310 is an abundant number, since it is smaller than the sum of its proper divisors (151537981054218).

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

102100301000310 is a wasteful number, since it uses less digits than its factorization.

102100301000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439890.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102100301000310 its reverse (13000103001201), we get a palindrome (115100404001511).

The spelling of 102100301000310 in words is "one hundred two trillion, one hundred billion, three hundred one million, three hundred ten", and thus it is an aban number.