100211102212 has 48 divisors (see below), whose sum is σ = 197130189312. Its totient is φ = 44226990720.

The previous prime is 100211102183. The next prime is 100211102213. The reversal of 100211102212 is 212201112001.

It is a super-2 number, since 2×100211102212² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100211102192 and 100211102201.

It is not an unprimeable number, because it can be changed into a prime (100211102213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4674037 + ... + 4695427.

It is an arithmetic number, because the mean of its divisors is an integer number (4106878944).

Almost surely, 2^100211102212 is an apocalyptic number.

It is an amenable number.

100211102212 is a deficient number, since it is larger than the sum of its proper divisors (96919087100).

100211102212 is a wasteful number, since it uses less digits than its factorization.

100211102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25348 (or 25346 counting only the distinct ones).

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

Adding to 100211102212 its reverse (212201112001), we get a palindrome (312412214213).

The spelling of 100211102212 in words is "one hundred billion, two hundred eleven million, one hundred two thousand, two hundred twelve".