103310122000 has 240 divisors, whose sum is σ = 274009172112. Its totient is φ = 37541683200.

The previous prime is 103310121997. The next prime is 103310122021. The reversal of 103310122000 is 221013301.

It can be written as a sum of positive squares in 24 ways, for example, as 103223408656 + 86713344 = 321284^2 + 9312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28592194 + ... + 28595806.

Almost surely, 2^103310122000 is an apocalyptic number.

103310122000 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 103310122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137004586056).

103310122000 is an abundant number, since it is smaller than the sum of its proper divisors (170699050112).

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

103310122000 is a wasteful number, since it uses less digits than its factorization.

103310122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103310122000 its reverse (221013301), we get a palindrome (103531135301).

The spelling of 103310122000 in words is "one hundred three billion, three hundred ten million, one hundred twenty-two thousand".