2101110022011 has 32 divisors (see below), whose sum is σ = 3761427737088. Its totient is φ = 1007525283840.

The previous prime is 2101110021977. The next prime is 2101110022031. The reversal of 2101110022011 is 1102200111012.

It is not a de Polignac number, because 2101110022011 - 2⁶ = 2101110021947 is a prime.

It is a super-3 number, since 3×2101110022011³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101110022031) 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, 349832166 + ... + 349838171.

It is an arithmetic number, because the mean of its divisors is an integer number (117544616784).

Almost surely, 2^{2101110022011} is an apocalyptic number.

2101110022011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101110022011 is a deficient number, since it is larger than the sum of its proper divisors (1660317715077).

2101110022011 is a wasteful number, since it uses less digits than its factorization.

2101110022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699670371.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101110022011 its reverse (1102200111012), we get a palindrome (3203310133023).

The spelling of 2101110022011 in words is "two trillion, one hundred one billion, one hundred ten million, twenty-two thousand, eleven".