100211112220112 has 20 divisors (see below), whose sum is σ = 194258649807300. Its totient is φ = 50079847753728.

The previous prime is 100211112220111. The next prime is 100211112220117. The reversal of 100211112220112 is 211022211112001.

It can be written as a sum of positive squares in 2 ways, for example, as 61747598225296 + 38463513994816 = 7857964^2 + 6201896^2 .

It is a super-3 number, since 3×100211112220112³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211112220111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1606740113 + ... + 1606802480.

It is an arithmetic number, because the mean of its divisors is an integer number (9712932490365).

Almost surely, 2^{100211112220112} is an apocalyptic number.

It is an amenable number.

100211112220112 is a deficient number, since it is larger than the sum of its proper divisors (94047537587188).

100211112220112 is a wasteful number, since it uses less digits than its factorization.

100211112220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213544550 (or 3213544544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100211112220112 its reverse (211022211112001), we get a palindrome (311233323332113).

The spelling of 100211112220112 in words is "one hundred trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty thousand, one hundred twelve".