2102121100002 has 32 divisors (see below), whose sum is σ = 5241652614144. Its totient is φ = 546005480400.

The previous prime is 2102121099977. The next prime is 2102121100019. The reversal of 2102121100002 is 2000011212012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275022374 + ... + 2275023297.

It is an arithmetic number, because the mean of its divisors is an integer number (163801644192).

Almost surely, 2^{2102121100002} is an apocalyptic number.

2102121100002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102121100002 is an abundant number, since it is smaller than the sum of its proper divisors (3139531514142).

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

2102121100002 is a wasteful number, since it uses less digits than its factorization.

2102121100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550045694.

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

Adding to 2102121100002 its reverse (2000011212012), we get a palindrome (4102132312014).

The spelling of 2102121100002 in words is "two trillion, one hundred two billion, one hundred twenty-one million, one hundred thousand, two".