100211222020112 has 80 divisors (see below), whose sum is σ = 227341061990784. Its totient is φ = 41894138496000.

The previous prime is 100211222020111. The next prime is 100211222020157. The reversal of 100211222020112 is 211020222112001.

It is not an unprimeable number, because it can be changed into a prime (100211222020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30445562 + ... + 33576102.

Almost surely, 2^{100211222020112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211222020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113670530995392).

100211222020112 is an abundant number, since it is smaller than the sum of its proper divisors (127129839970672).

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

100211222020112 is a wasteful number, since it uses less digits than its factorization.

100211222020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137568 (or 3137562 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100211222020112 its reverse (211020222112001), we get a palindrome (311231444132113).

The spelling of 100211222020112 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, twenty thousand, one hundred twelve".