20011221100101 has 24 divisors (see below), whose sum is σ = 33859431622944. Its totient is φ = 10395439531680.

The previous prime is 20011221100093. The next prime is 20011221100109. The reversal of 20011221100101 is 10100112211002.

It is an interprime number because it is at equal distance from previous prime (20011221100093) and next prime (20011221100109).

It is not a de Polignac number, because 20011221100101 - 2³ = 20011221100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011221100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6187760010 + ... + 6187763243.

It is an arithmetic number, because the mean of its divisors is an integer number (1410809650956).

Almost surely, 2^{20011221100101} is an apocalyptic number.

20011221100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20011221100101 is a deficient number, since it is larger than the sum of its proper divisors (13848210522843).

20011221100101 is a wasteful number, since it uses less digits than its factorization.

20011221100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12375523281 (or 12375523274 counting only the distinct ones).

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

Adding to 20011221100101 its reverse (10100112211002), we get a palindrome (30111333311103).

The spelling of 20011221100101 in words is "twenty trillion, eleven billion, two hundred twenty-one million, one hundred thousand, one hundred one".