100011102222001 has 8 divisors (see below), whose sum is σ = 101898326522664. Its totient is φ = 98123886157440.

The previous prime is 100011102221981. The next prime is 100011102222007. The reversal of 100011102222001 is 100222201110001.

It can be written as a sum of positive squares in 4 ways, for example, as 13502207601 + 99997600014400 = 116199^2 + 9999880^2 .

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 100011102222001 - 2⁹ = 100011102221489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011102222007) 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, 26040325 + ... + 29633101.

It is an arithmetic number, because the mean of its divisors is an integer number (12737290815333).

Almost surely, 2^{100011102222001} is an apocalyptic number.

It is an amenable number.

100011102222001 is a deficient number, since it is larger than the sum of its proper divisors (1887224300663).

100011102222001 is an equidigital number, since it uses as much as digits as its factorization.

100011102222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118051.

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

Adding to 100011102222001 its reverse (100222201110001), we get a palindrome (200233303332002).

The spelling of 100011102222001 in words is "one hundred trillion, eleven billion, one hundred two million, two hundred twenty-two thousand, one".