2100002002122 has 16 divisors (see below), whose sum is σ = 4257538306560. Its totient is φ = 690411616992.

The previous prime is 2100002002121. The next prime is 2100002002123. The reversal of 2100002002122 is 2212002000012.

It is an interprime number because it is at equal distance from previous prime (2100002002121) and next prime (2100002002123).

It is a junction number, because it is equal to n+sod(n) for n = 2100002002098 and 2100002002107.

It is not an unprimeable number, because it can be changed into a prime (2100002002121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2397262122 + ... + 2397262997.

It is an arithmetic number, because the mean of its divisors is an integer number (266096144160).

Almost surely, 2^{2100002002122} is an apocalyptic number.

2100002002122 is an abundant number, since it is smaller than the sum of its proper divisors (2157536304438).

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

2100002002122 is a wasteful number, since it uses less digits than its factorization.

2100002002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794525197.

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

Adding to 2100002002122 its reverse (2212002000012), we get a palindrome (4312004002134).

It can be divided in two parts, 210000 and 2002122, that added together give a palindrome (2212122).

The spelling of 2100002002122 in words is "two trillion, one hundred billion, two million, two thousand, one hundred twenty-two".