12103020100 has 72 divisors (see below), whose sum is σ = 26491695048. Its totient is φ = 4799308800.

The previous prime is 12103020089. The next prime is 12103020131. The reversal of 12103020100 is 102030121.

It can be written as a sum of positive squares in 12 ways, for example, as 11662272064 + 440748036 = 107992^2 + 20994^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11947194 + ... + 11948206.

It is an arithmetic number, because the mean of its divisors is an integer number (367940209).

Almost surely, 2^12103020100 is an apocalyptic number.

12103020100 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 12103020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245847524).

12103020100 is an abundant number, since it is smaller than the sum of its proper divisors (14388674948).

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

12103020100 is a wasteful number, since it uses less digits than its factorization.

12103020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1938 counting only the distinct ones).

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

Adding to 12103020100 its reverse (102030121), we get a palindrome (12205050221).

The spelling of 12103020100 in words is "twelve billion, one hundred three million, twenty thousand, one hundred".