103112210301000 has 256 divisors, whose sum is σ = 325246534928640. Its totient is φ = 27195977318400.

The previous prime is 103112210300989. The next prime is 103112210301011. The reversal of 103112210301000 is 103012211301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103112210300989) and next prime (103112210301011).

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

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, 99652299 + ... + 100681701.

It is an arithmetic number, because the mean of its divisors is an integer number (1270494277065).

Almost surely, 2^{103112210301000} is an apocalyptic number.

103112210301000 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 103112210301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162623267464320).

103112210301000 is an abundant number, since it is smaller than the sum of its proper divisors (222134324627640).

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

103112210301000 is a wasteful number, since it uses less digits than its factorization.

103112210301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029793 (or 1029779 counting only the distinct ones).

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

Adding to 103112210301000 its reverse (103012211301), we get a palindrome (103215222512301).

The spelling of 103112210301000 in words is "one hundred three trillion, one hundred twelve billion, two hundred ten million, three hundred one thousand".