100121221221010 has 256 divisors, whose sum is σ = 203166677952000. Its totient is φ = 35219238912000.

The previous prime is 100121221220957. The next prime is 100121221221023. The reversal of 100121221221010 is 10122122121001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95444442966 + ... + 95444444014.

It is an arithmetic number, because the mean of its divisors is an integer number (793619835750).

Almost surely, 2^{100121221221010} is an apocalyptic number.

100121221221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121221221010 is an abundant number, since it is smaller than the sum of its proper divisors (103045456730990).

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

100121221221010 is a wasteful number, since it uses less digits than its factorization.

100121221221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100121221221010 its reverse (10122122121001), we get a palindrome (110243343342011).

It can be divided in two parts, 1001212 and 21221010, that added together give a palindrome (22222222).

The spelling of 100121221221010 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, ten".