1203120100 has 288 divisors, whose sum is σ = 3429780480. Its totient is φ = 356106240.

The previous prime is 1203120097. The next prime is 1203120103. The reversal of 1203120100 is 10213021.

It is an interprime number because it is at equal distance from previous prime (1203120097) and next prime (1203120103).

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

It is not an unprimeable number, because it can be changed into a prime (1203120103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12403252 + ... + 12403348.

It is an arithmetic number, because the mean of its divisors is an integer number (11908960).

Almost surely, 2^1203120100 is an apocalyptic number.

1203120100 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 1203120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714890240).

1203120100 is an abundant number, since it is smaller than the sum of its proper divisors (2226660380).

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

1203120100 is a wasteful number, since it uses less digits than its factorization.

1203120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

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

The square root of 1203120100 is about 34686.0216802100. The cubic root of 1203120100 is about 1063.5787723861.

Adding to 1203120100 its reverse (10213021), we get a palindrome (1213333121).

It can be divided in two parts, 12031 and 20100, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 1203120100 in words is "one billion, two hundred three million, one hundred twenty thousand, one hundred".