2102011020011 has 32 divisors (see below), whose sum is σ = 2452845037440. Its totient is φ = 1764191010816.

The previous prime is 2102011019959. The next prime is 2102011020029. The reversal of 2102011020011 is 1100201102012.

It is a cyclic number.

It is not a de Polignac number, because 2102011020011 - 2³⁸ = 1827133113067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102011019974 and 2102011020001.

It is not an unprimeable number, because it can be changed into a prime (2102011020511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97625495 + ... + 97647023.

It is an arithmetic number, because the mean of its divisors is an integer number (76651407420).

Almost surely, 2^{2102011020011} is an apocalyptic number.

2102011020011 is a deficient number, since it is larger than the sum of its proper divisors (350834017429).

2102011020011 is a wasteful number, since it uses less digits than its factorization.

2102011020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22983.

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

Adding to 2102011020011 its reverse (1100201102012), we get a palindrome (3202212122023).

The spelling of 2102011020011 in words is "two trillion, one hundred two billion, eleven million, twenty thousand, eleven".