20130120100 has 36 divisors (see below), whose sum is σ = 44862973204. Its totient is φ = 7834423680.

The previous prime is 20130120083. The next prime is 20130120107. The reversal of 20130120100 is 102103102.

It can be written as a sum of positive squares in 6 ways, for example, as 1452524544 + 18677595556 = 38112^2 + 136666^2 .

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 (20130120107) 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 11 ways as a sum of consecutive naturals, for example, 2716587 + ... + 2723986.

Almost surely, 2^20130120100 is an apocalyptic number.

20130120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130120100 is an abundant number, since it is smaller than the sum of its proper divisors (24732853104).

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

20130120100 is a wasteful number, since it uses less digits than its factorization.

20130120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440624 (or 5440617 counting only the distinct ones).

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

Adding to 20130120100 its reverse (102103102), we get a palindrome (20232223202).

The spelling of 20130120100 in words is "twenty billion, one hundred thirty million, one hundred twenty thousand, one hundred".