100122202122011 has 8 divisors (see below), whose sum is σ = 105528132979920. Its totient is φ = 94729905391392.

The previous prime is 100122202121993. The next prime is 100122202122029. The reversal of 100122202122011 is 110221202221001.

It is an interprime number because it is at equal distance from previous prime (100122202121993) and next prime (100122202122029).

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 100122202122011 - 2¹⁰ = 100122202120987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122202122511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3408516740 + ... + 3408546113.

It is an arithmetic number, because the mean of its divisors is an integer number (13191016622490).

Almost surely, 2^{100122202122011} is an apocalyptic number.

100122202122011 is a deficient number, since it is larger than the sum of its proper divisors (5405930857909).

100122202122011 is an equidigital number, since it uses as much as digits as its factorization.

100122202122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817063645.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100122202122011 its reverse (110221202221001), we get a palindrome (210343404343012).

The spelling of 100122202122011 in words is "one hundred trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-two thousand, eleven".