2101201002011 has 8 divisors (see below), whose sum is σ = 2108665364400. Its totient is φ = 2093743365120.

The previous prime is 2101201002001. The next prime is 2101201002013. The reversal of 2101201002011 is 1102001021012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101201002011 - 2⁶ = 2101201001947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101201001983 and 2101201002001.

It is not an unprimeable number, because it can be changed into a prime (2101201002013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055006 + ... + 2305523.

It is an arithmetic number, because the mean of its divisors is an integer number (263583170550).

Almost surely, 2^{2101201002011} is an apocalyptic number.

2101201002011 is a deficient number, since it is larger than the sum of its proper divisors (7464362389).

2101201002011 is a wasteful number, since it uses less digits than its factorization.

2101201002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362749.

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

Adding to 2101201002011 its reverse (1102001021012), we get a palindrome (3203202023023).

The spelling of 2101201002011 in words is "two trillion, one hundred one billion, two hundred one million, two thousand, eleven".