2002221101001 has 32 divisors (see below), whose sum is σ = 2919807406080. Its totient is φ = 1210352011200.

The previous prime is 2002221100969. The next prime is 2002221101003. The reversal of 2002221101001 is 1001011222002.

It is not a de Polignac number, because 2002221101001 - 2⁵ = 2002221100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002221101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21626856 + ... + 21719238.

It is an arithmetic number, because the mean of its divisors is an integer number (91243981440).

Almost surely, 2^{2002221101001} is an apocalyptic number.

It is an amenable number.

2002221101001 is a deficient number, since it is larger than the sum of its proper divisors (917586305079).

2002221101001 is a wasteful number, since it uses less digits than its factorization.

2002221101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94077.

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

Adding to 2002221101001 its reverse (1001011222002), we get a palindrome (3003232323003).

The spelling of 2002221101001 in words is "two trillion, two billion, two hundred twenty-one million, one hundred one thousand, one".