103202012100 has 144 divisors (see below), whose sum is σ = 328969319616. Its totient is φ = 24770880000.

The previous prime is 103202012071. The next prime is 103202012153. The reversal of 103202012100 is 1210202301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 178482 + ... + 488118.

It is an arithmetic number, because the mean of its divisors is an integer number (2284509164).

Almost surely, 2^103202012100 is an apocalyptic number.

103202012100 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 103202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164484659808).

103202012100 is an abundant number, since it is smaller than the sum of its proper divisors (225767307516).

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

103202012100 is a wasteful number, since it uses less digits than its factorization.

103202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309766 (or 309759 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103202012100 its reverse (1210202301), we get a palindrome (104412214401).

It can be divided in two parts, 10320201 and 2100, that added together give a palindrome (10322301).

The spelling of 103202012100 in words is "one hundred three billion, two hundred two million, twelve thousand, one hundred".