221101000020001 has 64 divisors (see below), whose sum is σ = 232452098113536. Its totient is φ = 210122848051200.

The previous prime is 221101000019971. The next prime is 221101000020011. The reversal of 221101000020001 is 100020000101122.

It is not a de Polignac number, because 221101000020001 - 2¹³ = 221101000011809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221101000020001.

It is not an unprimeable number, because it can be changed into a prime (221101000020011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127582803531 + ... + 127582805263.

It is an arithmetic number, because the mean of its divisors is an integer number (3632064033024).

Almost surely, 2^{221101000020001} is an apocalyptic number.

It is an amenable number.

221101000020001 is a deficient number, since it is larger than the sum of its proper divisors (11351098093535).

221101000020001 is a wasteful number, since it uses less digits than its factorization.

221101000020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221101000020001 its reverse (100020000101122), we get a palindrome (321121000121123).

The spelling of 221101000020001 in words is "two hundred twenty-one trillion, one hundred one billion, twenty thousand, one".