101012110122011 has 16 divisors (see below), whose sum is σ = 110833403774688. Its totient is φ = 91297225728000.

The previous prime is 101012110121933. The next prime is 101012110122041. The reversal of 101012110122011 is 110221011210101.

It is a cyclic number.

It is not a de Polignac number, because 101012110122011 - 2³⁰ = 101011036380187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012110122041) 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, 172692635 + ... + 173276571.

It is an arithmetic number, because the mean of its divisors is an integer number (6927087735918).

Almost surely, 2^{101012110122011} is an apocalyptic number.

101012110122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012110122011 is a deficient number, since it is larger than the sum of its proper divisors (9821293652677).

101012110122011 is a wasteful number, since it uses less digits than its factorization.

101012110122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675022.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012110122011 its reverse (110221011210101), we get a palindrome (211233121332112).

The spelling of 101012110122011 in words is "one hundred one trillion, twelve billion, one hundred ten million, one hundred twenty-two thousand, eleven".