100012221022120 has 256 divisors, whose sum is σ = 253671424704000. Its totient is φ = 35179860480000.

The previous prime is 100012221022057. The next prime is 100012221022121. The reversal of 100012221022120 is 21220122210001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100012221022094 and 100012221022103.

It is not an unprimeable number, because it can be changed into a prime (100012221022121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403791357 + ... + 404038963.

It is an arithmetic number, because the mean of its divisors is an integer number (990904002750).

Almost surely, 2^{100012221022120} is an apocalyptic number.

100012221022120 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 100012221022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126835712352000).

100012221022120 is an abundant number, since it is smaller than the sum of its proper divisors (153659203681880).

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

100012221022120 is a wasteful number, since it uses less digits than its factorization.

100012221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247940 (or 247936 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100012221022120 its reverse (21220122210001), we get a palindrome (121232343232121).

The spelling of 100012221022120 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".