10100122011011 has 8 divisors (see below), whose sum is σ = 10230661409280. Its totient is φ = 9969649856712.

The previous prime is 10100122010989. The next prime is 10100122011017. The reversal of 10100122011011 is 11011022100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100122011011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100122010983 and 10100122011001.

It is not an unprimeable number, because it can be changed into a prime (10100122011017) 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, 16508615 + ... + 17109488.

It is an arithmetic number, because the mean of its divisors is an integer number (1278832676160).

Almost surely, 2^{10100122011011} is an apocalyptic number.

10100122011011 is a deficient number, since it is larger than the sum of its proper divisors (130539398269).

10100122011011 is an equidigital number, since it uses as much as digits as its factorization.

10100122011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33621985.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100122011011 its reverse (11011022100101), we get a palindrome (21111144111112).

The spelling of 10100122011011 in words is "ten trillion, one hundred billion, one hundred twenty-two million, eleven thousand, eleven".