20101011102011 has 8 divisors (see below), whose sum is σ = 22979315050464. Its totient is φ = 17224389887040.

The previous prime is 20101011101999. The next prime is 20101011102013. The reversal of 20101011102011 is 11020111010102.

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

It is not a de Polignac number, because 20101011102011 - 2³⁴ = 20083831232827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101011101983 and 20101011102001.

It is not an unprimeable number, because it can be changed into a prime (20101011102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420657770 + ... + 420705551.

It is an arithmetic number, because the mean of its divisors is an integer number (2872414381308).

Almost surely, 2^{20101011102011} is an apocalyptic number.

20101011102011 is a deficient number, since it is larger than the sum of its proper divisors (2878303948453).

20101011102011 is an equidigital number, since it uses as much as digits as its factorization.

20101011102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841366741.

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

Adding to 20101011102011 its reverse (11020111010102), we get a palindrome (31121122112113).

The spelling of 20101011102011 in words is "twenty trillion, one hundred one billion, eleven million, one hundred two thousand, eleven".