20120012012100 has 288 divisors, whose sum is σ = 78161323355136. Its totient is φ = 3859183065600.

The previous prime is 20120012012099. The next prime is 20120012012117. The reversal of 20120012012100 is 121021002102.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33199554 + ... + 33800153.

It is an arithmetic number, because the mean of its divisors is an integer number (271393483872).

Almost surely, 2^{20120012012100} is an apocalyptic number.

20120012012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120012012100 is an abundant number, since it is smaller than the sum of its proper divisors (58041311343036).

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

20120012012100 is a wasteful number, since it uses less digits than its factorization.

20120012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66999755 (or 66999748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20120012012100 its reverse (121021002102), we get a palindrome (20241033014202).

The spelling of 20120012012100 in words is "twenty trillion, one hundred twenty billion, twelve million, twelve thousand, one hundred".