100000102212 has 36 divisors (see below), whose sum is σ = 253008562716. Its totient is φ = 33302968320.

The previous prime is 100000102199. The next prime is 100000102217. The reversal of 100000102212 is 212201000001.

It can be written as a sum of positive squares in 2 ways, for example, as 53683036416 + 46317065796 = 231696^2 + 215214^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100000102194 and 100000102203.

It is not an unprimeable number, because it can be changed into a prime (100000102217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1226589 + ... + 1305572.

It is an arithmetic number, because the mean of its divisors is an integer number (7028015631).

Almost surely, 2^100000102212 is an apocalyptic number.

100000102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100000102212 is an abundant number, since it is smaller than the sum of its proper divisors (153008460504).

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

100000102212 is a wasteful number, since it uses less digits than its factorization.

100000102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533268 (or 2533263 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100000102212 its reverse (212201000001), we get a palindrome (312201102213).

The spelling of 100000102212 in words is "one hundred billion, one hundred two thousand, two hundred twelve".