20101221110001 has 16 divisors (see below), whose sum is σ = 26949993831488. Its totient is φ = 13326632827200.

The previous prime is 20101221109999. The next prime is 20101221110071. The reversal of 20101221110001 is 10001112210102.

It is not a de Polignac number, because 20101221110001 - 2¹ = 20101221109999 is a prime.

It is a super-3 number, since 3×20101221110001³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101221110071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79649946 + ... + 79901916.

It is an arithmetic number, because the mean of its divisors is an integer number (1684374614468).

Almost surely, 2^{20101221110001} is an apocalyptic number.

It is an amenable number.

20101221110001 is a deficient number, since it is larger than the sum of its proper divisors (6848772721487).

20101221110001 is a wasteful number, since it uses less digits than its factorization.

20101221110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399072.

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

Adding to 20101221110001 its reverse (10001112210102), we get a palindrome (30102333320103).

The spelling of 20101221110001 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred ten thousand, one".