10101100310011 has 8 divisors (see below), whose sum is σ = 10185444617040. Its totient is φ = 10017090040608.

The previous prime is 10101100309991. The next prime is 10101100310023. The reversal of 10101100310011 is 11001300110101.

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

It is a cyclic number.

It is not a de Polignac number, because 10101100310011 - 2²¹ = 10101098212859 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 10101100310011.

It is not an unprimeable number, because it can be changed into a prime (10101100310051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83448676 + ... + 83569633.

It is an arithmetic number, because the mean of its divisors is an integer number (1273180577130).

Almost surely, 2^{10101100310011} is an apocalyptic number.

10101100310011 is a deficient number, since it is larger than the sum of its proper divisors (84344307029).

10101100310011 is a wasteful number, since it uses less digits than its factorization.

10101100310011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167018813.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10101100310011 its reverse (11001300110101), we get a palindrome (21102400420112).

The spelling of 10101100310011 in words is "ten trillion, one hundred one billion, one hundred million, three hundred ten thousand, eleven".