100121222210220 has 36 divisors (see below), whose sum is σ = 303701040704880. Its totient is φ = 26698992589344.

The previous prime is 100121222210189. The next prime is 100121222210263. The reversal of 100121222210220 is 22012222121001.

It is a happy number.

100121222210220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 212 + 22 + 210 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100121222210193 and 100121222210202.

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 11 ways as a sum of consecutive naturals, for example, 278114505960 + ... + 278114506319.

It is an arithmetic number, because the mean of its divisors is an integer number (8436140019580).

Almost surely, 2^{100121222210220} is an apocalyptic number.

100121222210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121222210220 is an abundant number, since it is smaller than the sum of its proper divisors (203579818494660).

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

100121222210220 is a wasteful number, since it uses less digits than its factorization.

100121222210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556229012294 (or 556229012289 counting only the distinct ones).

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

Adding to 100121222210220 its reverse (22012222121001), we get a palindrome (122133444331221).

The spelling of 100121222210220 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty".