100102212 has 72 divisors (see below), whose sum is σ = 291077696. Its totient is φ = 28413504.

The previous prime is 100102207. The next prime is 100102217. The reversal of 100102212 is 212201001.

It is an interprime number because it is at equal distance from previous prime (100102207) and next prime (100102217).

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 = 100102194 and 100102203.

It is not an unprimeable number, because it can be changed into a prime (100102217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39858 + ... + 42294.

Almost surely, 2^100102212 is an apocalyptic number.

100102212 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 100102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145538848).

100102212 is an abundant number, since it is smaller than the sum of its proper divisors (190975484).

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

100102212 is a wasteful number, since it uses less digits than its factorization.

100102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2612 counting only the distinct ones).

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

The square root of 100102212 is about 10005.1092947554. The cubic root of 100102212 is about 464.3169715378.

Adding to 100102212 its reverse (212201001), we get a palindrome (312303213).

The spelling of 100102212 in words is "one hundred million, one hundred two thousand, two hundred twelve".