2002122100001 has 16 divisors (see below), whose sum is σ = 2126286816768. Its totient is φ = 1882473436800.

The previous prime is 2002122099997. The next prime is 2002122100003. The reversal of 2002122100001 is 1000012212002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002122100001 - 2² = 2002122099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002122100003) 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, 6450770 + ... + 6754011.

It is an arithmetic number, because the mean of its divisors is an integer number (132892926048).

Almost surely, 2^{2002122100001} is an apocalyptic number.

It is an amenable number.

2002122100001 is a deficient number, since it is larger than the sum of its proper divisors (124164716767).

2002122100001 is a wasteful number, since it uses less digits than its factorization.

2002122100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13204952.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002122100001 its reverse (1000012212002), we get a palindrome (3002134312003).

The spelling of 2002122100001 in words is "two trillion, two billion, one hundred twenty-two million, one hundred thousand, one".