10111011002101 has 2 divisors, whose sum is σ = 10111011002102. Its totient is φ = 10111011002100.

The previous prime is 10111011002017. The next prime is 10111011002227. The reversal of 10111011002101 is 10120011011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10031320535076 + 79690467025 = 3167226^2 + 282295^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111011002101 - 2²³ = 10111002613493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111011042101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055505501050 + 5055505501051.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505501051).

Almost surely, 2^{10111011002101} is an apocalyptic number.

It is an amenable number.

10111011002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111011002101 is an equidigital number, since it uses as much as digits as its factorization.

10111011002101 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 10.

Adding to 10111011002101 its reverse (10120011011101), we get a palindrome (20231022013202).

The spelling of 10111011002101 in words is "ten trillion, one hundred eleven billion, eleven million, two thousand, one hundred one".