2011102002101 has 16 divisors (see below), whose sum is σ = 2037410852400. Its totient is φ = 1984879024128.

The previous prime is 2011102002097. The next prime is 2011102002113. The reversal of 2011102002101 is 1012002011102.

It can be written as a sum of positive squares in 8 ways, for example, as 612973121476 + 1398128880625 = 782926^2 + 1182425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011102002101 - 2² = 2011102002097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011102002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119493755 + ... + 119510583.

It is an arithmetic number, because the mean of its divisors is an integer number (127338178275).

Almost surely, 2^{2011102002101} is an apocalyptic number.

It is an amenable number.

2011102002101 is a deficient number, since it is larger than the sum of its proper divisors (26308850299).

2011102002101 is a wasteful number, since it uses less digits than its factorization.

2011102002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19288.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011102002101 its reverse (1012002011102), we get a palindrome (3023104013203).

Subtracting from 2011102002101 its reverse (1012002011102), we obtain a palindrome (999099990999).

The spelling of 2011102002101 in words is "two trillion, eleven billion, one hundred two million, two thousand, one hundred one".