100211002222120 has 16 divisors (see below), whose sum is σ = 225474754999860. Its totient is φ = 40084400888832.

The previous prime is 100211002222039. The next prime is 100211002222129. The reversal of 100211002222120 is 21222200112001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92625726099076 + 7585276123044 = 9624226^2 + 2754138^2 .

It is a super-3 number, since 3×100211002222120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211002222094 and 100211002222103.

It is not an unprimeable number, because it can be changed into a prime (100211002222129) 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, 1252637527737 + ... + 1252637527816.

Almost surely, 2^{100211002222120} is an apocalyptic number.

100211002222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211002222120 is an abundant number, since it is smaller than the sum of its proper divisors (125263752777740).

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

100211002222120 is a wasteful number, since it uses less digits than its factorization.

100211002222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505275055564 (or 2505275055560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100211002222120 its reverse (21222200112001), we get a palindrome (121433202334121).

The spelling of 100211002222120 in words is "one hundred trillion, two hundred eleven billion, two million, two hundred twenty-two thousand, one hundred twenty".