10111020101 has 12 divisors (see below), whose sum is σ = 12666553452. Its totient is φ = 7999927488.

The previous prime is 10111020097. The next prime is 10111020121. The reversal of 10111020101 is 10102011101.

It is a happy number.

10111020101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5193364225 + 4917655876 = 72065^2 + 70126^2 .

It is not a de Polignac number, because 10111020101 - 2² = 10111020097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7935800 + ... + 7937073.

It is an arithmetic number, because the mean of its divisors is an integer number (1055546121).

Almost surely, 2^10111020101 is an apocalyptic number.

It is an amenable number.

10111020101 is a deficient number, since it is larger than the sum of its proper divisors (2555533351).

10111020101 is a wasteful number, since it uses less digits than its factorization.

10111020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872900 (or 15872893 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10111020101 its reverse (10102011101), we get a palindrome (20213031202).

It can be divided in two parts, 10 and 111020101, that added together give a palindrome (111020111).

The spelling of 10111020101 in words is "ten billion, one hundred eleven million, twenty thousand, one hundred one".