10100111211101 has 2 divisors, whose sum is σ = 10100111211102. Its totient is φ = 10100111211100.

The previous prime is 10100111211097. The next prime is 10100111211131. The reversal of 10100111211101 is 10111211100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7609708444900 + 2490402766201 = 2758570^2 + 1578101^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111211101 - 2² = 10100111211097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111211131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055605550 + 5050055605551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055605551).

Almost surely, 2^{10100111211101} is an apocalyptic number.

It is an amenable number.

10100111211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111211101 is an equidigital number, since it uses as much as digits as its factorization.

10100111211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10100111211101 its reverse (10111211100101), we get a palindrome (20211322311202).

The spelling of 10100111211101 in words is "ten trillion, one hundred billion, one hundred eleven million, two hundred eleven thousand, one hundred one".