10010101102111 has 16 divisors (see below), whose sum is σ = 11165906442240. Its totient is φ = 8895728918880.

The previous prime is 10010101102109. The next prime is 10010101102121. The reversal of 10010101102111 is 11120110101001.

It is a cyclic number.

It is not a de Polignac number, because 10010101102111 - 2¹ = 10010101102109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11249271 + ... + 12106456.

It is an arithmetic number, because the mean of its divisors is an integer number (697869152640).

Almost surely, 2^{10010101102111} is an apocalyptic number.

10010101102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010101102111 is a deficient number, since it is larger than the sum of its proper divisors (1155805340129).

10010101102111 is a wasteful number, since it uses less digits than its factorization.

10010101102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23356614.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10010101102111 its reverse (11120110101001), we get a palindrome (21130211203112).

The spelling of 10010101102111 in words is "ten trillion, ten billion, one hundred one million, one hundred two thousand, one hundred eleven".