100021122002101 has 8 divisors (see below), whose sum is σ = 103470519317400. Its totient is φ = 96571750894080.

The previous prime is 100021122002077. The next prime is 100021122002111. The reversal of 100021122002101 is 101200221120001.

It can be written as a sum of positive squares in 4 ways, for example, as 15796928466225 + 84224193535876 = 3974535^2 + 9177374^2 .

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 100021122002101 - 2⁵ = 100021122002069 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 (100021122002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1375465 + ... + 14210353.

It is an arithmetic number, because the mean of its divisors is an integer number (12933814914675).

Almost surely, 2^{100021122002101} is an apocalyptic number.

It is an amenable number.

100021122002101 is a deficient number, since it is larger than the sum of its proper divisors (3449397315299).

100021122002101 is a wasteful number, since it uses less digits than its factorization.

100021122002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13103639.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100021122002101 its reverse (101200221120001), we get a palindrome (201221343122102).

The spelling of 100021122002101 in words is "one hundred trillion, twenty-one billion, one hundred twenty-two million, two thousand, one hundred one".