100212340305 has 128 divisors (see below), whose sum is σ = 203531304960. Its totient is φ = 40896092160.

The previous prime is 100212340303. The next prime is 100212340331. The reversal of 100212340305 is 503043212001.

It is not a de Polignac number, because 100212340305 - 2¹ = 100212340303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100212340303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20148799 + ... + 20153771.

It is an arithmetic number, because the mean of its divisors is an integer number (1590088320).

Almost surely, 2^100212340305 is an apocalyptic number.

100212340305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100212340305 is an abundant number, since it is smaller than the sum of its proper divisors (103318964655).

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

100212340305 is a wasteful number, since it uses less digits than its factorization.

100212340305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 100212340305 its reverse (503043212001), we get a palindrome (603255552306).

The spelling of 100212340305 in words is "one hundred billion, two hundred twelve million, three hundred forty thousand, three hundred five".