11102000020101 has 24 divisors (see below), whose sum is σ = 16144882205400. Its totient is φ = 7351188965376.

The previous prime is 11102000020057. The next prime is 11102000020109. The reversal of 11102000020101 is 10102000020111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 409091076 + 11101590929025 = 20226^2 + 3331905^2 .

It is not a de Polignac number, because 11102000020101 - 2¹⁹ = 11101999495813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102000020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21328921 + ... + 21843233.

It is an arithmetic number, because the mean of its divisors is an integer number (672703425225).

Almost surely, 2^{11102000020101} is an apocalyptic number.

It is an amenable number.

11102000020101 is a deficient number, since it is larger than the sum of its proper divisors (5042882185299).

11102000020101 is a wasteful number, since it uses less digits than its factorization.

11102000020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530565 (or 530562 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102000020101 its reverse (10102000020111), we get a palindrome (21204000040212).

The spelling of 11102000020101 in words is "eleven trillion, one hundred two billion, twenty thousand, one hundred one".