100212120101 has 8 divisors (see below), whose sum is σ = 102057467904. Its totient is φ = 98373305520.

The previous prime is 100212120079. The next prime is 100212120157. The reversal of 100212120101 is 101021212001.

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 100212120101 - 2¹⁸ = 100211857957 is a prime.

It is a super-3 number, since 3×100212120101³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212120181) 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 7 ways as a sum of consecutive naturals, for example, 1602341 + ... + 1663706.

It is an arithmetic number, because the mean of its divisors is an integer number (12757183488).

Almost surely, 2^100212120101 is an apocalyptic number.

It is an amenable number.

100212120101 is a deficient number, since it is larger than the sum of its proper divisors (1845347803).

100212120101 is an equidigital number, since it uses as much as digits as its factorization.

100212120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266611.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100212120101 its reverse (101021212001), we get a palindrome (201233332102).

The spelling of 100212120101 in words is "one hundred billion, two hundred twelve million, one hundred twenty thousand, one hundred one".