100220211112 has 128 divisors (see below), whose sum is σ = 233273779200. Its totient is φ = 39383866368.

The previous prime is 100220211103. The next prime is 100220211137. The reversal of 100220211112 is 211112022001.

It is a junction number, because it is equal to n+sod(n) for n = 100220211092 and 100220211101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17149263 + ... + 17155105.

It is an arithmetic number, because the mean of its divisors is an integer number (1822451400).

Almost surely, 2^100220211112 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 100220211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116636889600).

100220211112 is an abundant number, since it is smaller than the sum of its proper divisors (133053568088).

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

100220211112 is a wasteful number, since it uses less digits than its factorization.

100220211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100220211112 its reverse (211112022001), we get a palindrome (311332233113).

The spelling of 100220211112 in words is "one hundred billion, two hundred twenty million, two hundred eleven thousand, one hundred twelve".