2101101001001 has 16 divisors (see below), whose sum is σ = 2120017536000. Its totient is φ = 2082276092688.

The previous prime is 2101101000983. The next prime is 2101101001003. The reversal of 2101101001001 is 1001001011012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2101101001001 - 2²⁶ = 2101033892137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101101001001.

It is not an unprimeable number, because it can be changed into a prime (2101101001003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65440850 + ... + 65472948.

It is an arithmetic number, because the mean of its divisors is an integer number (132501096000).

Almost surely, 2^{2101101001001} is an apocalyptic number.

It is an amenable number.

2101101001001 is a deficient number, since it is larger than the sum of its proper divisors (18916534999).

2101101001001 is a wasteful number, since it uses less digits than its factorization.

2101101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33508.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2101101001001 its reverse (1001001011012), we get a palindrome (3102102012013).

The spelling of 2101101001001 in words is "two trillion, one hundred one billion, one hundred one million, one thousand, one".