2001022201101 has 64 divisors (see below), whose sum is σ = 3414382036992. Its totient is φ = 1012327200000.

The previous prime is 2001022200997. The next prime is 2001022201109. The reversal of 2001022201101 is 1011022201002.

It is not a de Polignac number, because 2001022201101 - 2⁷ = 2001022200973 is a prime.

It is a super-2 number, since 2×2001022201101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001022201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720186 + ... + 2126196.

It is an arithmetic number, because the mean of its divisors is an integer number (53349719328).

Almost surely, 2^{2001022201101} is an apocalyptic number.

2001022201101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001022201101 is a deficient number, since it is larger than the sum of its proper divisors (1413359835891).

2001022201101 is a wasteful number, since it uses less digits than its factorization.

2001022201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406194.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001022201101 its reverse (1011022201002), we get a palindrome (3012044402103).

Subtracting from 2001022201101 its reverse (1011022201002), we obtain a palindrome (990000000099).

It can be divided in two parts, 20010 and 22201101, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 2001022201101 in words is "two trillion, one billion, twenty-two million, two hundred one thousand, one hundred one".