100211211102212 has 18 divisors (see below), whose sum is σ = 204001394029902. Its totient is φ = 42947661900864.

The previous prime is 100211211102173. The next prime is 100211211102269. The reversal of 100211211102212 is 212201112112001.

It can be written as a sum of positive squares in only one way, i.e., 72782465437696 + 27428745664516 = 8531264^2 + 5237246^2 .

It is a super-2 number, since 2×100211211102212² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255640844453 + ... + 255640844844.

It is an arithmetic number, because the mean of its divisors is an integer number (11333410779439).

Almost surely, 2^{100211211102212} is an apocalyptic number.

It is an amenable number.

100211211102212 is an abundant number, since it is smaller than the sum of its proper divisors (103790182927690).

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

100211211102212 is a wasteful number, since it uses less digits than its factorization.

100211211102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511281689315 (or 511281689306 counting only the distinct ones).

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

Adding to 100211211102212 its reverse (212201112112001), we get a palindrome (312412323214213).

The spelling of 100211211102212 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, one hundred two thousand, two hundred twelve".