103012210000 has 150 divisors (see below), whose sum is σ = 290123076210. Its totient is φ = 35318304000.

The previous prime is 103012209991. The next prime is 103012210153. The reversal of 103012210000 is 12210301.

It can be written as a sum of positive squares in 5 ways, for example, as 73204878096 + 29807331904 = 270564^2 + 172648^2 .

It is a super-2 number, since 2×103012210000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 384886 + ... + 595114.

Almost surely, 2^103012210000 is an apocalyptic number.

103012210000 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 103012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061538105).

103012210000 is an abundant number, since it is smaller than the sum of its proper divisors (187110866210).

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

103012210000 is an equidigital number, since it uses as much as digits as its factorization.

103012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210271 (or 210243 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 103012210000 its reverse (12210301), we get a palindrome (103024420301).

The spelling of 103012210000 in words is "one hundred three billion, twelve million, two hundred ten thousand".