2101201012002 has 64 divisors (see below), whose sum is σ = 4313334579840. Its totient is φ = 682013412864.

The previous prime is 2101201011979. The next prime is 2101201012007. The reversal of 2101201012002 is 2002101021012.

It is not an unprimeable number, because it can be changed into a prime (2101201012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272278248 + ... + 272285964.

It is an arithmetic number, because the mean of its divisors is an integer number (67395852810).

Almost surely, 2^{2101201012002} is an apocalyptic number.

2101201012002 is an abundant number, since it is smaller than the sum of its proper divisors (2212133567838).

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

2101201012002 is a wasteful number, since it uses less digits than its factorization.

2101201012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867.

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

Adding to 2101201012002 its reverse (2002101021012), we get a palindrome (4103302033014).

The spelling of 2101201012002 in words is "two trillion, one hundred one billion, two hundred one million, twelve thousand, two".