106400100111101 has 2 divisors, whose sum is σ = 106400100111102. Its totient is φ = 106400100111100.

The previous prime is 106400100111091. The next prime is 106400100111139. The reversal of 106400100111101 is 101111001004601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83514649663225 + 22885450447876 = 9138635^2 + 4783874^2 .

It is a cyclic number.

It is not a de Polignac number, because 106400100111101 - 2¹⁸ = 106400099848957 is a prime.

It is a super-2 number, since 2×106400100111101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106400100111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106400100111161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53200050055550 + 53200050055551.

It is an arithmetic number, because the mean of its divisors is an integer number (53200050055551).

Almost surely, 2^{106400100111101} is an apocalyptic number.

It is an amenable number.

106400100111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106400100111101 is an equidigital number, since it uses as much as digits as its factorization.

106400100111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 106400100111101 its reverse (101111001004601), we get a palindrome (207511101115702).

The spelling of 106400100111101 in words is "one hundred six trillion, four hundred billion, one hundred million, one hundred eleven thousand, one hundred one".