100121221202220 has 48 divisors (see below), whose sum is σ = 311488243741920. Its totient is φ = 26698992320448.

The previous prime is 100121221202203. The next prime is 100121221202221. The reversal of 100121221202220 is 22202122121001.

It is a happy number.

100121221202220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 21 + 221 + 202 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100121221202193 and 100121221202202.

It is not an unprimeable number, because it can be changed into a prime (100121221202221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92704833907 + ... + 92704834986.

It is an arithmetic number, because the mean of its divisors is an integer number (6489338411290).

Almost surely, 2^{100121221202220} is an apocalyptic number.

100121221202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121221202220 is an abundant number, since it is smaller than the sum of its proper divisors (211367022539700).

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

100121221202220 is a wasteful number, since it uses less digits than its factorization.

100121221202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185409668911 (or 185409668903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100121221202220 its reverse (22202122121001), we get a palindrome (122323343323221).

The spelling of 100121221202220 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".