20111002201101 has 48 divisors (see below), whose sum is σ = 32355216953664. Its totient is φ = 11070981524736.

The previous prime is 20111002201063. The next prime is 20111002201111. The reversal of 20111002201101 is 10110220011102.

It is not a de Polignac number, because 20111002201101 - 2¹³ = 20111002192909 is a prime.

It is a super-2 number, since 2×20111002201101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111002201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21330466 + ... + 22253331.

It is an arithmetic number, because the mean of its divisors is an integer number (674067019868).

Almost surely, 2^{20111002201101} is an apocalyptic number.

20111002201101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20111002201101 is a deficient number, since it is larger than the sum of its proper divisors (12244214752563).

20111002201101 is a wasteful number, since it uses less digits than its factorization.

20111002201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43583930 (or 43583923 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20111002201101 its reverse (10110220011102), we get a palindrome (30221222212203).

The spelling of 20111002201101 in words is "twenty trillion, one hundred eleven billion, two million, two hundred one thousand, one hundred one".