20121314100 has 144 divisors (see below), whose sum is σ = 60013200576. Its totient is φ = 5201280000.

The previous prime is 20121314099. The next prime is 20121314113. The reversal of 20121314100 is 141312102.

It is a super-2 number, since 2×20121314100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20121314100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3115875 + ... + 3122325.

Almost surely, 2^20121314100 is an apocalyptic number.

20121314100 is a gapful number since it is divisible by the number (20) 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 20121314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30006600288).

20121314100 is an abundant number, since it is smaller than the sum of its proper divisors (39891886476).

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

20121314100 is a wasteful number, since it uses less digits than its factorization.

20121314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20121314100 its reverse (141312102), we get a palindrome (20262626202).

The spelling of 20121314100 in words is "twenty billion, one hundred twenty-one million, three hundred fourteen thousand, one hundred".