2100210102011 has 32 divisors (see below), whose sum is σ = 2452078302720. Its totient is φ = 1761680295936.

The previous prime is 2100210101989. The next prime is 2100210102061. The reversal of 2100210102011 is 1102010120012.

It is a cyclic number.

It is not a de Polignac number, because 2100210102011 - 2²² = 2100205907707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100210101983 and 2100210102001.

It is not an unprimeable number, because it can be changed into a prime (2100210102061) 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, 66876365 + ... + 66907761.

It is an arithmetic number, because the mean of its divisors is an integer number (76627446960).

Almost surely, 2^{2100210102011} is an apocalyptic number.

2100210102011 is a deficient number, since it is larger than the sum of its proper divisors (351868200709).

2100210102011 is a wasteful number, since it uses less digits than its factorization.

2100210102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32403.

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

Adding to 2100210102011 its reverse (1102010120012), we get a palindrome (3202220222023).

The spelling of 2100210102011 in words is "two trillion, one hundred billion, two hundred ten million, one hundred two thousand, eleven".