100222011312 has 40 divisors (see below), whose sum is σ = 263151245040. Its totient is φ = 32859674880.

The previous prime is 100222011311. The next prime is 100222011353. The reversal of 100222011312 is 213110222001.

It is a super-2 number, since 2×100222011312² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222011291 and 100222011300.

It is not an unprimeable number, because it can be changed into a prime (100222011311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17111487 + ... + 17117342.

It is an arithmetic number, because the mean of its divisors is an integer number (6578781126).

Almost surely, 2^100222011312 is an apocalyptic number.

100222011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222011312 is an abundant number, since it is smaller than the sum of its proper divisors (162929233728).

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

100222011312 is a wasteful number, since it uses less digits than its factorization.

100222011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34228901 (or 34228895 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100222011312 its reverse (213110222001), we get a palindrome (313332233313).

The spelling of 100222011312 in words is "one hundred billion, two hundred twenty-two million, eleven thousand, three hundred twelve".