101001001022111 has 8 divisors (see below), whose sum is σ = 101738537354064. Its totient is φ = 100263469078080.

The previous prime is 101001001022093. The next prime is 101001001022113. The reversal of 101001001022111 is 111220100100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001001022111 - 2³⁴ = 100983821152927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001001022092 and 101001001022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001022113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55867001 + ... + 57646541.

It is an arithmetic number, because the mean of its divisors is an integer number (12717317169258).

Almost surely, 2^{101001001022111} is an apocalyptic number.

101001001022111 is a deficient number, since it is larger than the sum of its proper divisors (737536331953).

101001001022111 is a wasteful number, since it uses less digits than its factorization.

101001001022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193961.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101001001022111 its reverse (111220100100101), we get a palindrome (212221101122212).

The spelling of 101001001022111 in words is "one hundred one trillion, one billion, one million, twenty-two thousand, one hundred eleven".