10110101122011 has 32 divisors (see below), whose sum is σ = 15481043424000. Its totient is φ = 5804294215680.

The previous prime is 10110101122003. The next prime is 10110101122013. The reversal of 10110101122011 is 11022110101101.

It is not a de Polignac number, because 10110101122011 - 2³ = 10110101122003 is a prime.

It is a super-2 number, since 2×10110101122011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10110101122013) 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, 5925415 + ... + 7438463.

It is an arithmetic number, because the mean of its divisors is an integer number (483782607000).

Almost surely, 2^{10110101122011} is an apocalyptic number.

10110101122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10110101122011 is a deficient number, since it is larger than the sum of its proper divisors (5370942301989).

10110101122011 is a wasteful number, since it uses less digits than its factorization.

10110101122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523739.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10110101122011 its reverse (11022110101101), we get a palindrome (21132211223112).

The spelling of 10110101122011 in words is "ten trillion, one hundred ten billion, one hundred one million, one hundred twenty-two thousand, eleven".