100212021331 has 8 divisors (see below), whose sum is σ = 101607449328. Its totient is φ = 98824500000.

The previous prime is 100212021317. The next prime is 100212021341. The reversal of 100212021331 is 133120212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212021331 - 2⁹ = 100212020819 is a prime.

It is a super-3 number, since 3×100212021331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212021341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1951140 + ... + 2001841.

It is an arithmetic number, because the mean of its divisors is an integer number (12700931166).

Almost surely, 2^100212021331 is an apocalyptic number.

100212021331 is a deficient number, since it is larger than the sum of its proper divisors (1395427997).

100212021331 is a wasteful number, since it uses less digits than its factorization.

100212021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953333.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100212021331 its reverse (133120212001), we get a palindrome (233332233332).

The spelling of 100212021331 in words is "one hundred billion, two hundred twelve million, twenty-one thousand, three hundred thirty-one".