310103120011122 has 96 divisors (see below), whose sum is σ = 692329331818800. Its totient is φ = 100315325187072.

The previous prime is 310103120011121. The next prime is 310103120011141. The reversal of 310103120011122 is 221110021301013.

310103120011122 is a `hidden beast` number, since 310 + 1 + 0 + 31 + 200 + 1 + 1 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 238763964056121 + 71339155955001 = 15451989^2 + 8446251^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 310103120011095 and 310103120011104.

It is not an unprimeable number, because it can be changed into a prime (310103120011121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354235138 + ... + 355109474.

Almost surely, 2^{310103120011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310103120011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346164665909400).

310103120011122 is an abundant number, since it is smaller than the sum of its proper divisors (382226211807678).

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

310103120011122 is an equidigital number, since it uses as much as digits as its factorization.

310103120011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874845 (or 874768 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 310103120011122 its reverse (221110021301013), we get a palindrome (531213141312135).

The spelling of 310103120011122 in words is "three hundred ten trillion, one hundred three billion, one hundred twenty million, eleven thousand, one hundred twenty-two".