10002101100011 has 16 divisors (see below), whose sum is σ = 10367988726528. Its totient is φ = 9638938214400.

The previous prime is 10002101099989. The next prime is 10002101100067. The reversal of 10002101100011 is 11000110120001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10002101100011 - 2¹⁸ = 10002100837867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002101100071) 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, 27007451 + ... + 27375291.

It is an arithmetic number, because the mean of its divisors is an integer number (647999295408).

Almost surely, 2^{10002101100011} is an apocalyptic number.

10002101100011 is a deficient number, since it is larger than the sum of its proper divisors (365887626517).

10002101100011 is a wasteful number, since it uses less digits than its factorization.

10002101100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371542.

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

Adding to 10002101100011 its reverse (11000110120001), we get a palindrome (21002211220012).

The spelling of 10002101100011 in words is "ten trillion, two billion, one hundred one million, one hundred thousand, eleven".