100212003203333 has 24 divisors (see below), whose sum is σ = 119725975705752. Its totient is φ = 83572950956544.

The previous prime is 100212003203281. The next prime is 100212003203341. The reversal of 100212003203333 is 333302300212001.

It can be written as a sum of positive squares in 4 ways, for example, as 52201752106084 + 48010251097249 = 7225078^2 + 6928943^2 .

It is not a de Polignac number, because 100212003203333 - 2²² = 100211999009029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212003203299 and 100212003203308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212003205333) 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, 103936241 + ... + 104895977.

It is an arithmetic number, because the mean of its divisors is an integer number (4988582321073).

Almost surely, 2^{100212003203333} is an apocalyptic number.

It is an amenable number.

100212003203333 is a deficient number, since it is larger than the sum of its proper divisors (19513972502419).

100212003203333 is an equidigital number, since it uses as much as digits as its factorization.

100212003203333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017381 (or 1017374 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 100212003203333 its reverse (333302300212001), we get a palindrome (433514303415334).

The spelling of 100212003203333 in words is "one hundred trillion, two hundred twelve billion, three million, two hundred three thousand, three hundred thirty-three".