100212201110021 has 96 divisors (see below), whose sum is σ = 145745539011072. Its totient is φ = 67496278026240.

The previous prime is 100212201109991. The next prime is 100212201110033. The reversal of 100212201110021 is 120011102212001.

It is not a de Polignac number, because 100212201110021 - 2³⁰ = 100211127368197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212201109978 and 100212201110005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212201110621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21331220 + ... + 25601666.

It is an arithmetic number, because the mean of its divisors is an integer number (1518182698032).

Almost surely, 2^{100212201110021} is an apocalyptic number.

100212201110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212201110021 is a deficient number, since it is larger than the sum of its proper divisors (45533337901051).

100212201110021 is a wasteful number, since it uses less digits than its factorization.

100212201110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270699 (or 4270692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212201110021 its reverse (120011102212001), we get a palindrome (220223303322022).

The spelling of 100212201110021 in words is "one hundred trillion, two hundred twelve billion, two hundred one million, one hundred ten thousand, twenty-one".