20102201101101 has 16 divisors (see below), whose sum is σ = 30632644514304. Its totient is φ = 11486702422704.

The previous prime is 20102201101069. The next prime is 20102201101133. The reversal of 20102201101101 is 10110110220102.

It is an interprime number because it is at equal distance from previous prime (20102201101069) and next prime (20102201101133).

It is not a de Polignac number, because 20102201101101 - 2⁵ = 20102201101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102201101201) 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 15 ways as a sum of consecutive naturals, for example, 10317111 + ... + 12109796.

It is an arithmetic number, because the mean of its divisors is an integer number (1914540282144).

Almost surely, 2^{20102201101101} is an apocalyptic number.

20102201101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20102201101101 is a deficient number, since it is larger than the sum of its proper divisors (10530443413203).

20102201101101 is a wasteful number, since it uses less digits than its factorization.

20102201101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22469600.

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

Adding to 20102201101101 its reverse (10110110220102), we get a palindrome (30212311321203).

The spelling of 20102201101101 in words is "twenty trillion, one hundred two billion, two hundred one million, one hundred one thousand, one hundred one".