1230110020100 has 288 divisors, whose sum is σ = 3024101757600. Its totient is φ = 431172403200.

The previous prime is 1230110020091. The next prime is 1230110020109. The reversal of 1230110020100 is 10200110321.

It is an interprime number because it is at equal distance from previous prime (1230110020091) and next prime (1230110020109).

It can be written as a sum of positive squares in 48 ways, for example, as 1201492207876 + 28617812224 = 1096126^2 + 169168^2 .

It is not an unprimeable number, because it can be changed into a prime (1230110020109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660993170 + ... + 660995030.

It is an arithmetic number, because the mean of its divisors is an integer number (10500353325).

Almost surely, 2^{1230110020100} is an apocalyptic number.

1230110020100 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 1230110020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512050878800).

1230110020100 is an abundant number, since it is smaller than the sum of its proper divisors (1793991737500).

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

1230110020100 is a wasteful number, since it uses less digits than its factorization.

1230110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1230110020100 its reverse (10200110321), we get a palindrome (1240310130421).

The spelling of 1230110020100 in words is "one trillion, two hundred thirty billion, one hundred ten million, twenty thousand, one hundred".