20121200012100 has 288 divisors, whose sum is σ = 64199769701760. Its totient is φ = 4824967680000.

The previous prime is 20121200012077. The next prime is 20121200012159. The reversal of 20121200012100 is 121000212102.

It is a super-3 number, since 3×20121200012100³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356269464 + ... + 356325936.

It is an arithmetic number, because the mean of its divisors is an integer number (222915867020).

Almost surely, 2^{20121200012100} is an apocalyptic number.

20121200012100 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 20121200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32099884850880).

20121200012100 is an abundant number, since it is smaller than the sum of its proper divisors (44078569689660).

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

20121200012100 is a wasteful number, since it uses less digits than its factorization.

20121200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57671 (or 57664 counting only the distinct ones).

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

Adding to 20121200012100 its reverse (121000212102), we get a palindrome (20242200224202).

The spelling of 20121200012100 in words is "twenty trillion, one hundred twenty-one billion, two hundred million, twelve thousand, one hundred".