2102201101001 has 32 divisors (see below), whose sum is σ = 2231489917440. Its totient is φ = 1977929231616.

The previous prime is 2102201100983. The next prime is 2102201101037. The reversal of 2102201101001 is 1001011022012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102201101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102201121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90925895 + ... + 90949011.

It is an arithmetic number, because the mean of its divisors is an integer number (69734059920).

Almost surely, 2^{2102201101001} is an apocalyptic number.

It is an amenable number.

2102201101001 is a deficient number, since it is larger than the sum of its proper divisors (129288816439).

2102201101001 is a wasteful number, since it uses less digits than its factorization.

2102201101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23873.

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

Adding to 2102201101001 its reverse (1001011022012), we get a palindrome (3103212123013).

The spelling of 2102201101001 in words is "two trillion, one hundred two billion, two hundred one million, one hundred one thousand, one".