102103331301120 has 288 divisors, whose sum is σ = 327011051727360. Its totient is φ = 27150895595520.

The previous prime is 102103331301119. The next prime is 102103331301121. The reversal of 102103331301120 is 21103133301201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102103331301119) and next prime (102103331301121).

It is a super-2 number, since 2×102103331301120² (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 (102103331301121) 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, 10407021015 + ... + 10407030825.

It is an arithmetic number, because the mean of its divisors is an integer number (1135455040720).

Almost surely, 2^{102103331301120} is an apocalyptic number.

102103331301120 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 102103331301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163505525863680).

102103331301120 is an abundant number, since it is smaller than the sum of its proper divisors (224907720426240).

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

102103331301120 is an equidigital number, since it uses as much as digits as its factorization.

102103331301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17191 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102103331301120 its reverse (21103133301201), we get a palindrome (123206464602321).

The spelling of 102103331301120 in words is "one hundred two trillion, one hundred three billion, three hundred thirty-one million, three hundred one thousand, one hundred twenty".