10111020101101 has 2 divisors, whose sum is σ = 10111020101102. Its totient is φ = 10111020101100.

The previous prime is 10111020101087. The next prime is 10111020101123. The reversal of 10111020101101 is 10110102011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9675994111876 + 435025989225 = 3110626^2 + 659565^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111020101101 - 2⁹ = 10111020100589 is a prime.

It is a super-2 number, since 2×10111020101101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111020101701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055510050550 + 5055510050551.

It is an arithmetic number, because the mean of its divisors is an integer number (5055510050551).

Almost surely, 2^{10111020101101} is an apocalyptic number.

It is an amenable number.

10111020101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111020101101 is an equidigital number, since it uses as much as digits as its factorization.

10111020101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111020101101 its reverse (10110102011101), we get a palindrome (20221122112202).

Subtracting from 10111020101101 its reverse (10110102011101), we obtain a square (918090000 = 30300²).

The spelling of 10111020101101 in words is "ten trillion, one hundred eleven billion, twenty million, one hundred one thousand, one hundred one".