100222111121101 has 8 divisors (see below), whose sum is σ = 102672075421944. Its totient is φ = 97772409799680.

The previous prime is 100222111121087. The next prime is 100222111121107. The reversal of 100222111121101 is 101121111222001.

It can be written as a sum of positive squares in 4 ways, for example, as 1201720212900 + 99020390908201 = 1096230^2 + 9950899^2 .

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 100222111121101 - 2¹⁹ = 100222110596813 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 (100222111121107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64973226 + ... + 66497851.

It is an arithmetic number, because the mean of its divisors is an integer number (12834009427743).

Almost surely, 2^{100222111121101} is an apocalyptic number.

It is an amenable number.

100222111121101 is a deficient number, since it is larger than the sum of its proper divisors (2449964300843).

100222111121101 is a wasteful number, since it uses less digits than its factorization.

100222111121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131489711.

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

Adding to 100222111121101 its reverse (101121111222001), we get a palindrome (201343222343102).

The spelling of 100222111121101 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".