221101102100001 has 48 divisors (see below), whose sum is σ = 313910213113728. Its totient is φ = 138399135744000.

The previous prime is 221101102099979. The next prime is 221101102100059. The reversal of 221101102100001 is 100001201101122.

It is not a de Polignac number, because 221101102100001 - 2¹⁵ = 221101102067233 is a prime.

It is a super-2 number, since 2×221101102100001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221101102100001.

It is not an unprimeable number, because it can be changed into a prime (221101102100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1918839676 + ... + 1918954898.

It is an arithmetic number, because the mean of its divisors is an integer number (6539796106536).

Almost surely, 2^{221101102100001} is an apocalyptic number.

It is an amenable number.

221101102100001 is a deficient number, since it is larger than the sum of its proper divisors (92809111013727).

221101102100001 is a wasteful number, since it uses less digits than its factorization.

221101102100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120522 (or 120505 counting only the distinct ones).

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

Adding to 221101102100001 its reverse (100001201101122), we get a palindrome (321102303201123).

The spelling of 221101102100001 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred two million, one hundred thousand, one".