100211122220112 has 60 divisors (see below), whose sum is σ = 283228712223444. Its totient is φ = 33072977625600.

The previous prime is 100211122220081. The next prime is 100211122220171. The reversal of 100211122220112 is 211022221112001.

100211122220112 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 122 + 220 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95460012692496 + 4751109527616 = 9770364^2 + 2179704^2 .

It is a super-3 number, since 3×100211122220112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3445087293 + ... + 3445116380.

Almost surely, 2^{100211122220112} is an apocalyptic number.

100211122220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211122220112 is an abundant number, since it is smaller than the sum of its proper divisors (183017590003332).

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

100211122220112 is a wasteful number, since it uses less digits than its factorization.

100211122220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890203788 (or 6890203779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211122220112 its reverse (211022221112001), we get a palindrome (311233343332113).

The spelling of 100211122220112 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".