100212300213 has 32 divisors (see below), whose sum is σ = 149406114816. Its totient is φ = 59419776768.

The previous prime is 100212300143. The next prime is 100212300233. The reversal of 100212300213 is 312003212001.

It is not a de Polignac number, because 100212300213 - 2¹⁰ = 100212299189 is a prime.

It is a super-2 number, since 2×100212300213² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212300192 and 100212300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212300233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417295 + ... + 612012.

It is an arithmetic number, because the mean of its divisors is an integer number (4668941088).

Almost surely, 2^100212300213 is an apocalyptic number.

It is an amenable number.

100212300213 is a deficient number, since it is larger than the sum of its proper divisors (49193814603).

100212300213 is a wasteful number, since it uses less digits than its factorization.

100212300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029433.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100212300213 its reverse (312003212001), we get a palindrome (412215512214).

The spelling of 100212300213 in words is "one hundred billion, two hundred twelve million, three hundred thousand, two hundred thirteen".