100011122221121 has 4 divisors (see below), whose sum is σ = 100013363612244. Its totient is φ = 100008880830000.

The previous prime is 100011122221103. The next prime is 100011122221139. The reversal of 100011122221121 is 121122221110001.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (100011122221103) and next prime (100011122221139).

It can be written as a sum of positive squares in 2 ways, for example, as 86480495661121 + 13530626560000 = 9299489^2 + 3678400^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011122221121 - 2⁴² = 95613075710017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100011122221121.

It is not an unprimeable number, because it can be changed into a prime (100011122221321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1120628630 + ... + 1120717871.

It is an arithmetic number, because the mean of its divisors is an integer number (25003340903061).

Almost surely, 2^{100011122221121} is an apocalyptic number.

It is an amenable number.

100011122221121 is a deficient number, since it is larger than the sum of its proper divisors (2241391123).

100011122221121 is an equidigital number, since it uses as much as digits as its factorization.

100011122221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241391122.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100011122221121 its reverse (121122221110001), we get a palindrome (221133343331122).

The spelling of 100011122221121 in words is "one hundred trillion, eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".