2101101012002 has 8 divisors (see below), whose sum is σ = 3152202812316. Its totient is φ = 1050366741232.

The previous prime is 2101101011963. The next prime is 2101101012007. The reversal of 2101101012002 is 2002101011012.

It can be written as a sum of positive squares in 2 ways, for example, as 1956420435841 + 144680576161 = 1398721^2 + 380369^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (2101101012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91868093 + ... + 91890960.

Almost surely, 2^{2101101012002} is an apocalyptic number.

2101101012002 is a deficient number, since it is larger than the sum of its proper divisors (1051101800314).

2101101012002 is a wasteful number, since it uses less digits than its factorization.

2101101012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183764772.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101101012002 its reverse (2002101011012), we get a palindrome (4103202023014).

The spelling of 2101101012002 in words is "two trillion, one hundred one billion, one hundred one million, twelve thousand, two".