1020100212 has 72 divisors (see below), whose sum is σ = 2680475616. Its totient is φ = 326821824.

The previous prime is 1020100189. The next prime is 1020100217. The reversal of 1020100212 is 2120010201.

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 = 1020100194 and 1020100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100217) 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 23 ways as a sum of consecutive naturals, for example, 105943 + ... + 115169.

It is an arithmetic number, because the mean of its divisors is an integer number (37228828).

Almost surely, 2^1020100212 is an apocalyptic number.

1020100212 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 1020100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340237808).

1020100212 is an abundant number, since it is smaller than the sum of its proper divisors (1660375404).

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

1020100212 is a wasteful number, since it uses less digits than its factorization.

1020100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9352 counting only the distinct ones).

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

The square root of 1020100212 is about 31939.0076865265. The cubic root of 1020100212 is about 1006.6556743874.

Adding to 1020100212 its reverse (2120010201), we get a palindrome (3140110413).

The spelling of 1020100212 in words is "one billion, twenty million, one hundred thousand, two hundred twelve".