100211221000101 has 16 divisors (see below), whose sum is σ = 142953021621440. Its totient is φ = 62253735217920.

The previous prime is 100211221000081. The next prime is 100211221000117. The reversal of 100211221000101 is 101000122112001.

It is not a de Polignac number, because 100211221000101 - 2¹⁰ = 100211220999077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211221020101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14410583380 + ... + 14410590333.

It is an arithmetic number, because the mean of its divisors is an integer number (8934563851340).

Almost surely, 2^{100211221000101} is an apocalyptic number.

It is an amenable number.

100211221000101 is a deficient number, since it is larger than the sum of its proper divisors (42741800621339).

100211221000101 is a wasteful number, since it uses less digits than its factorization.

100211221000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28821173796.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211221000101 its reverse (101000122112001), we get a palindrome (201211343112102).

The spelling of 100211221000101 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-one million, one hundred one", and thus it is an aban number.