102443312001030 has 1024 divisors, whose sum is σ = 346749655375872. Its totient is φ = 18687960023040.

The previous prime is 102443312001001. The next prime is 102443312001031. The reversal of 102443312001030 is 30100213344201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102443312001031) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9165540802 + ... + 9165551978.

It is an arithmetic number, because the mean of its divisors is an integer number (338622710328).

Almost surely, 2^{102443312001030} is an apocalyptic number.

102443312001030 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 102443312001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173374827687936).

102443312001030 is an abundant number, since it is smaller than the sum of its proper divisors (244306343374842).

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

102443312001030 is a wasteful number, since it uses less digits than its factorization.

102443312001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102443312001030 its reverse (30100213344201), we get a palindrome (132543525345231).

The spelling of 102443312001030 in words is "one hundred two trillion, four hundred forty-three billion, three hundred twelve million, one thousand, thirty".