101022102101111 has 16 divisors (see below), whose sum is σ = 107289735137568. Its totient is φ = 94790608281600.

The previous prime is 101022102101033. The next prime is 101022102101143. The reversal of 101022102101111 is 111101201220101.

It is a cyclic number.

It is not a de Polignac number, because 101022102101111 - 2³⁰ = 101021028359287 is a prime.

It is a super-2 number, since 2×101022102101111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022102101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377218391 + ... + 377486103.

It is an arithmetic number, because the mean of its divisors is an integer number (6705608446098).

Almost surely, 2^{101022102101111} is an apocalyptic number.

101022102101111 is a deficient number, since it is larger than the sum of its proper divisors (6267633036457).

101022102101111 is a wasteful number, since it uses less digits than its factorization.

101022102101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335122.

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

Adding to 101022102101111 its reverse (111101201220101), we get a palindrome (212123303321212).

The spelling of 101022102101111 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred one thousand, one hundred eleven".