12101020100 has 72 divisors (see below), whose sum is σ = 28469401800. Its totient is φ = 4438010880.

The previous prime is 12101020093. The next prime is 12101020157. The reversal of 12101020100 is 102010121.

It can be written as a sum of positive squares in 12 ways, for example, as 7851023236 + 4249996864 = 88606^2 + 65192^2 .

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, 162464 + ... + 224936.

Almost surely, 2^12101020100 is an apocalyptic number.

12101020100 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 12101020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234700900).

12101020100 is an abundant number, since it is smaller than the sum of its proper divisors (16368381700).

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

12101020100 is a wasteful number, since it uses less digits than its factorization.

12101020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62649 (or 62642 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12101020100 its reverse (102010121), we get a palindrome (12203030221).

The spelling of 12101020100 in words is "twelve billion, one hundred one million, twenty thousand, one hundred".