100102102212 has 96 divisors (see below), whose sum is σ = 276595441920. Its totient is φ = 27569203200.

The previous prime is 100102102207. The next prime is 100102102213. The reversal of 100102102212 is 212201201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100102102213) 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 31 ways as a sum of consecutive naturals, for example, 1469712 + ... + 1536312.

It is an arithmetic number, because the mean of its divisors is an integer number (2881202520).

Almost surely, 2^100102102212 is an apocalyptic number.

100102102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138297720960).

100102102212 is an abundant number, since it is smaller than the sum of its proper divisors (176493339708).

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

100102102212 is a wasteful number, since it uses less digits than its factorization.

100102102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67261 (or 67259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102102212 its reverse (212201201001), we get a palindrome (312303303213).

The spelling of 100102102212 in words is "one hundred billion, one hundred two million, one hundred two thousand, two hundred twelve".