100220012000101 has 32 divisors (see below), whose sum is σ = 117066656678400. Its totient is φ = 85761782604288.

The previous prime is 100220012000099. The next prime is 100220012000111. The reversal of 100220012000101 is 101000210022001.

It is not a de Polignac number, because 100220012000101 - 2¹ = 100220012000099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220012000111) 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, 1645159095 + ... + 1645220011.

It is an arithmetic number, because the mean of its divisors is an integer number (3658333021200).

Almost surely, 2^{100220012000101} is an apocalyptic number.

It is an amenable number.

100220012000101 is a deficient number, since it is larger than the sum of its proper divisors (16846644678299).

100220012000101 is an frugal number, since it uses more digits than its factorization.

100220012000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68738 (or 68724 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100220012000101 its reverse (101000210022001), we get a palindrome (201220222022102).

The spelling of 100220012000101 in words is "one hundred trillion, two hundred twenty billion, twelve million, one hundred one", and thus it is an aban number.