100012200011220 has 192 divisors, whose sum is σ = 331967864954880. Its totient is φ = 22022437635072.

The previous prime is 100012200011179. The next prime is 100012200011231. The reversal of 100012200011220 is 22110002210001.

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 = 100012200011196 and 100012200011205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36611580 + ... + 39248339.

It is an arithmetic number, because the mean of its divisors is an integer number (1728999296640).

Almost surely, 2^{100012200011220} is an apocalyptic number.

100012200011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012200011220 is an abundant number, since it is smaller than the sum of its proper divisors (231955664943660).

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

100012200011220 is a wasteful number, since it uses less digits than its factorization.

100012200011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75860054 (or 75860052 counting only the distinct ones).

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

Adding to 100012200011220 its reverse (22110002210001), we get a palindrome (122122202221221).

The spelling of 100012200011220 in words is "one hundred trillion, twelve billion, two hundred million, eleven thousand, two hundred twenty".