100012121000220 has 192 divisors, whose sum is σ = 339603532369920. Its totient is φ = 21658388428800.

The previous prime is 100012121000219. The next prime is 100012121000273. The reversal of 100012121000220 is 22000121210001.

100012121000220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 100012121000196 and 100012121000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187740865 + ... + 188272824.

It is an arithmetic number, because the mean of its divisors is an integer number (1768768397760).

Almost surely, 2^{100012121000220} is an apocalyptic number.

100012121000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012121000220 is an abundant number, since it is smaller than the sum of its proper divisors (239591411369700).

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

100012121000220 is a wasteful number, since it uses less digits than its factorization.

100012121000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376013756 (or 376013754 counting only the distinct ones).

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

Adding to 100012121000220 its reverse (22000121210001), we get a palindrome (122012242210221).

The spelling of 100012121000220 in words is "one hundred trillion, twelve billion, one hundred twenty-one million, two hundred twenty", and thus it is an aban number.