2002100022102 has 32 divisors (see below), whose sum is σ = 4008411131904. Its totient is φ = 666664992000.

The previous prime is 2002100022101. The next prime is 2002100022103. The reversal of 2002100022102 is 2012200012002.

It is an interprime number because it is at equal distance from previous prime (2002100022101) and next prime (2002100022103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100022101) 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 15 ways as a sum of consecutive naturals, for example, 66189702 + ... + 66219942.

It is an arithmetic number, because the mean of its divisors is an integer number (125262847872).

Almost surely, 2^{2002100022102} is an apocalyptic number.

2002100022102 is an abundant number, since it is smaller than the sum of its proper divisors (2006311109802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002100022102 is a wasteful number, since it uses less digits than its factorization.

2002100022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41484.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002100022102 its reverse (2012200012002), we get a palindrome (4014300034104).

The spelling of 2002100022102 in words is "two trillion, two billion, one hundred million, twenty-two thousand, one hundred two".