100122100202011 has 8 divisors (see below), whose sum is σ = 101797243519248. Its totient is φ = 98448047124000.

The previous prime is 100122100201997. The next prime is 100122100202063. The reversal of 100122100202011 is 110202001221001.

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 100122100202011 - 2⁵ = 100122100201979 is a prime.

It is a super-2 number, since 2×100122100202011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122100201982 and 100122100202000.

It is not an unprimeable number, because it can be changed into a prime (100122100202911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272374600 + ... + 272741941.

It is an arithmetic number, because the mean of its divisors is an integer number (12724655439906).

Almost surely, 2^{100122100202011} is an apocalyptic number.

100122100202011 is a deficient number, since it is larger than the sum of its proper divisors (1675143317237).

100122100202011 is an equidigital number, since it uses as much as digits as its factorization.

100122100202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545119613.

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

Adding to 100122100202011 its reverse (110202001221001), we get a palindrome (210324101423012).

The spelling of 100122100202011 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, two hundred two thousand, eleven".