100111122002101 has 16 divisors (see below), whose sum is σ = 115025272547328. Its totient is φ = 85350217680000.

The previous prime is 100111122002069. The next prime is 100111122002107. The reversal of 100111122002101 is 101200221111001.

It is a happy number.

It is not a de Polignac number, because 100111122002101 - 2⁵ = 100111122002069 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 (100111122002107) 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, 6961801 + ... + 15769873.

It is an arithmetic number, because the mean of its divisors is an integer number (7189079534208).

Almost surely, 2^{100111122002101} is an apocalyptic number.

It is an amenable number.

100111122002101 is a deficient number, since it is larger than the sum of its proper divisors (14914150545227).

100111122002101 is an equidigital number, since it uses as much as digits as its factorization.

100111122002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816772.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111122002101 its reverse (101200221111001), we get a palindrome (201311343113102).

The spelling of 100111122002101 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, two thousand, one hundred one".