101020111102111 has 8 divisors (see below), whose sum is σ = 101124561060864. Its totient is φ = 100915663296000.

The previous prime is 101020111102069. The next prime is 101020111102199. The reversal of 101020111102111 is 111201111020101.

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 101020111102111 - 2³⁵ = 100985751363743 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020111102091 and 101020111102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020111192111) 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, 103811431 + ... + 104780023.

It is an arithmetic number, because the mean of its divisors is an integer number (12640570132608).

Almost surely, 2^{101020111102111} is an apocalyptic number.

101020111102111 is a deficient number, since it is larger than the sum of its proper divisors (104449958753).

101020111102111 is an equidigital number, since it uses as much as digits as its factorization.

101020111102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076321.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101020111102111 its reverse (111201111020101), we get a palindrome (212221222122212).

The spelling of 101020111102111 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred two thousand, one hundred eleven".